@ARTICLE{EllMac69, author={G.F.R. Ellis and M.A.H. MacCallum}, title={A class of homogeneous cosmological models}, journal={ Comm. math. phys.}, volume={12}, pages={108-141}, year={1969} } @ARTICLE{MacEll70, author={M.A.H. MacCallum and G.F.R. Ellis}, title={A class of homogeneous cosmological models {II}: observations}, journal={ Comm. math. phys.}, volume={19}, pages={31-64}, year={1970} } @ARTICLE{MacSteSch70, author={M.A.H. MacCallum and J.M. Stewart and B.G. Schmidt}, title={Anisotropic stresses in homogeneous cosmologies}, journal={ Comm. math. phys.}, volume={17}, pages={343-7}, year={1970} } @ARTICLE{SteMacSci70, author={J.M. Stewart and M.A.H. MacCallum and D.W. Sciama}, title={Thermodynamics and cosmology}, journal={ Comments in Astrophys. and Space Phys.}, volume={2}, pages={206-8}, year={1970} } @ARTICLE{Mac71, author={M.A.H. MacCallum}, title={A class of homogeneous cosmological models {III}: asymptotic behaviour}, journal={ Comm. math. phys.}, volume={20}, pages={57-84}, year={1971} } @ARTICLE{Mac71a, author={M.A.H. MacCallum}, title={On the mixmaster universe problem}, journal={ Nature (Phys. Sci.)}, volume={230}, pages={112-3}, year={1971} } @ARTICLE{Mac71b, author={M.A.H. MacCallum}, title={On the pulsating universe of {Sengupta}}, journal={ Phys. Lett. A}, volume={35}, pages={474}, year={1971} } @ARTICLE{Mac72, author={M.A.H. MacCallum}, title={On criteria of cosmological spatial homogeneity}, journal={ Phys. Lett. A}, volume={40}, pages={325-6}, year={1972} } @ARTICLE{Mac72a, author={M.A.H. MacCallum}, title={On `diagonal' {Bianchi} cosmologies}, journal={ Phys. Lett. A}, volume={40}, pages={385-6}, year={1972} } @ARTICLE{MacTau72, author={M.A.H. MacCallum and A.H. Taub}, title={Variational principles and spatially homogeneous universes, including rotation}, journal={ Comm. math. phys.}, volume={25}, pages={173-189}, year={1972} } @INCOLLECTION{Mac73, author={M.A.H. MacCallum}, title={Cosmological models from the geometric point of view}, booktitle={Cargese Lectures in Physics, vol. 6}, editor={E. Schatzman}, publisher={Gordon and Breach}, address={New York}, pages={61-174}, year={1973} } @ARTICLE{MacTau73, author={M.A.H. MacCallum and A.H. Taub}, title={The averaged {{Lagrang}ian} and high-frequency gravitational waves}, journal={ Comm. math. phys.}, volume={30}, pages={153-170}, year={1973} } @ARTICLE{PenMac73, author={R. Penrose and M.A.H. MacCallum}, title={Twistor theory: an approach to the quantisation of fields and space-time}, journal={ Phys. Reports (Phys. Lett. C)}, volume={6}, pages={241-316}, note={(Russian translation: 'Teoria tvistorov: podkhod k kvantovanalo polyem i prostantsva-vremeni', translated by A.{G}. {S}ergeeva, in 'Tvistorii i kalibrovochnie polya, cbornik statei', pp. 131-224, ed. {V}.{V}. {Z}harinov, Mir, Moscow, 1983)}, year={1973} } @INCOLLECTION{Mac75, author={M.A.H. MacCallum}, title={Quantum cosmological models}, booktitle={Quantum gravity: an Oxford symposium}, editor={C.J. Isham and R. Penrose and D.W. Sciama}, publisher={Oxford University Press}, address={Oxford}, pages={174-218}, year={1975} } @INCOLLECTION{Mac76, author={M.A.H. MacCallum}, title={Cosmology and curved space quantum theory}, booktitle={Transactions of the International Astronomical Union, vol. XVIA, part 3 (Section 5 of the report of Commission 47)}, editor={G. Contopoulos}, publisher={D. Reidel and Co.}, address={Dordrecht}, pages={148-151}, year={1976} } @ARTICLE{Mac77, author={M.A.H. MacCallum}, title={Comment on `{A} class of {Bianchi} type {VI} cosmological models with electromagnetic field' by {Dunn} and {Tupper}}, journal={ Astrophys. J.}, volume={212}, pages={946}, year={1977} } @ARTICLE{Mac78, author={M.A.H. MacCallum}, title={Anisotropic cosmologies}, journal={ Rendiconti di Seminario Matematico Univers. Politec. Torino}, volume={36}, pages={27-34}, year={1978} } @INCOLLECTION{Mac79, author={M.A.H. MacCallum}, title={Anisotropic and inhomogeneous relativistic cosmologies}, booktitle={General relativity: an Einstein centenary survey}, editor={S.W. Hawking and W. Israel}, publisher={Cambridge University Press}, address={Cambridge}, pages={533-580}, note={(Russian translation: In `Obshchaya teoria otnositel'nosti' edited by Ya. {A}. {S}morodinskii and V.{B}. {B}raginskii, Mir, Moscow, 1983. {A}lso reprinted on pp. 179-236 in ``The early universe: reprints'', ed. {E}.{W}. {K}olb and M.{S}. {T}urner, Addison-Wesley, Reading, Mass. 1988.)}, year={1979} } @ARTICLE{Mac79a, author={M.A.H. MacCallum}, title={Comment}, journal={ Gen. Rel. Grav.}, volume={10}, pages={1039-40}, note={(Contribution to the GR8 symposium on singularities.)}, year={1979} } @INCOLLECTION{Mac79b, author={M.A.H. MacCallum}, title={The mathematics of anisotropic spatially-homogeneous cosmologies}, booktitle={Physics of the expanding universe}, editor={M. Demianski}, publisher={Springer-Verlag}, address={Berlin and Heidelberg}, volume={109}, pages={1-59}, series={Lecture Notes in Physics}, year={1979} } @BOOK{KraSteMac80, author={D. Kramer and H. Stephani and M.A.H. MacCallum and E. Herlt}, title={Exact solutions of {Einstein's} field equations}, publisher={Deutscher Verlag der Wissenschaften, Berlin, and Cambridge University Press}, address={Cambridge}, pages={1-425}, note={(Russian translation: "Tochnie resheniya uravnenii Einshteina", 418 pp., translated by {I}.{V}. {M}itskievich, V.{D}. {Z}akharov and S.{V}. {R}umyantsev and edited by Yu. {S}. {V}ladimirov, Energoisdat, Moscow, 1982)}, year={1980} } @INCOLLECTION{Mac80, author={M.A.H. MacCallum}, title={Locally isotropic spacetimes with non-null homogeneous hypersurfaces}, booktitle={Essays in general relativity (A festschrift for A.H. Taub)}, editor={F.J. Tipler}, publisher={Academic Press}, address={New York}, pages={121-138}, year={1980} } @INCOLLECTION{MacSik80, author={M.A.H. MacCallum and S.T.C. Siklos}, title={Homogeneous and hypersurface-homogeneous {Einstein} spaces}, booktitle={Abstracts of contributed papers for the 9th international conference on general relativity and gravitation, Jena, {DDR}, 1980, vol. 1}, editor={E. Schmutzer}, publisher={International Society on General Relativity and Gravitation}, address={Jena}, pages={54-55}, year={1980} } @ARTICLE{BonMac82, author={W.B. Bonnor and M.A.H. MacCallum}, title={The {Melnick-Tabensky} solutions have high symmetry}, journal={ J. Math. Phys.}, volume={23}, pages={1539-40}, year={1982} } @ARTICLE{KarMac82, author={A. Karlhede and M.A.H. MacCallum}, title={On determining the isometry group of a {Riemannian} manifold}, journal={ Gen. Rel. Grav.}, volume={14}, pages={673-682}, year={1982} } @ARTICLE{Mac82, author={M.A.H. MacCallum}, title={Relativistic cosmologies}, journal={ Irish Astron. J.}, volume={15}, pages={125-127}, year={1982} } @INCOLLECTION{Mac82a, author={M.A.H. MacCallum}, title={Relativistic cosmology for astrophysicists}, booktitle={Origin and evolution of the galaxies}, editor={V. de Sabbata}, publisher={World Scientific}, address={Singapore}, pages={9-33}, note={Also, in revised form, in ``Origin and evolution of the galaxies'', ed. B.{J}.{T}. and J.{E}. {J}ones, Nato Advanced Study Institute Series, 97, pp. 9-39, D.{R}eidel and Co., Dordrecht, 1983.}, year={1982} } @ARTICLE{MacMouTom82, author={M.A.H. MacCallum and A. Moussiaux and P. Tombal and J. Demaret}, title={Comment on ``{On} the general solution for `diagonal' vacuum {Bianchi} type {III} model with a cosmological constant''}, journal={ J. Phys. A}, volume={15}, pages={1757-8}, year={1982} } @ARTICLE{MacSpeSza82, author={M.A.H. MacCallum and A. Spero and D.A. Szafron}, title={On the geometry of the {Zel'manov-Grishchuk} homogeneity criterion}, journal={ Phys. Lett. A}, volume={87}, pages={157-8}, year={1982} } @INCOLLECTION{Mac83, author={M.A.H. MacCallum}, title={Classifying metrics in theory and practice}, booktitle={Unified field theories of more than 4 dimensions, including exact solutions}, editor={V. de Sabbata and E. Schmutzer}, publisher={World Scientific}, address={Singapore}, pages={352-382}, year={1983} } @INCOLLECTION{Mac83a, author={M.A.H. MacCallum}, title={Proposed format for recording the invariant characterization of exact solutions}, booktitle={Contributed papers of the 10th international conference on general relativity and gravitation}, editor={B. Bertotti and F. de Felice and A. Pascolini}, publisher={Consiglione Nazionale di Ricerce}, address={Rome}, pages={301-3}, year={1983} } @ARTICLE{Mac83b, author={M.A.H. MacCallum}, title={Static and stationary `cylindrically symmetric' {Einstein}-{Maxwell} fields, and the solutions of {Van den Bergh and Wils}}, journal={ J. Phys. A}, volume={16}, pages={3853-66}, year={1983} } @INCOLLECTION{AmadInJol84, author={J.E. {\AA}man and R.A. d'Inverno and G.C. Joly and M.A.H. MacCallum}, title={Quartic equations and algorithms for {Riemann} tensor classification}, booktitle={EUROSAM 84: Proceedings of the 1984 European conference on symbolic and algebraic manipulation}, editor={J. Fitch}, publisher={Springer Verlag}, address={Berlin and Heidelberg}, volume={174}, pages={47-58}, series={Lecture Notes in Computer Science}, year={1984} } @BOOK{BonIslMac84, author={W.B. Bonnor and J.N. Islam and M.A.H. MacCallum~(eds.)}, title={Classical general relativity (Proceedings of the 1983 London conference on classical (non-quantum) general relativity)}, publisher={Cambridge University Press}, address={Cambridge}, pages={1-269}, year={1984} } @TECHREPORT{KraSteMac84, author={D. Kramer and H. Stephani and M.A.H. MacCallum and E. Herlt}, title={Exact solutions of {Einstein's} field equations: corrections}, institution={Queen Mary College}, pages={1-19}, number={Preprint (unpublished)}, year={1984} } @INCOLLECTION{Mac84, author={M.A.H. MacCallum}, title={Algebraic computing in general relativity}, booktitle={Classical general relativity (Proceedings of the 1983 London conference on classical (non-quantum) general relativity)}, editor={W.B. Bonnor and J.N. Islam and M.A.H. MacCallum}, publisher={Cambridge University Press}, address={Cambridge}, pages={145-171}, year={1984} } @INCOLLECTION{Mac84a, author={M.A.H. MacCallum}, title={Exact solutions and singularities. {R}eport of workshop {A2}}, booktitle={General Relativity and Gravitation (Proceedings of the 10th international conference on general relativity and gravitation, Padova, 1983)}, editor={B. Bertotti and F. de Felice and A. Pascolini}, publisher={D. Reidel and Co.}, address={Dordrecht}, pages={69-81}, year={1984} } @INCOLLECTION{Mac84b, author={M.A.H. MacCallum}, title={Exact solutions in cosmology}, booktitle={Solutions of Einstein's equations: techniques and results (Retzbach, Germany, 1983)}, editor={C. Hoenselaers and W. Dietz}, publisher={Springer Verlag}, address={Berlin and Heidelberg}, volume={205}, pages={334-366}, series={Lecture Notes in Physics}, year={1984} } @INCOLLECTION{AmadInJol85, author={J.E. {\AA}man and R.A. d'Inverno and G.C. Joly and M.A.H. MacCallum}, title={Progress on the equivalence problem}, booktitle={EUROCAL 85: proceedings of the European conference on computer algebra, Linz, Austria, vol. 2}, editor={B.F. Caviness}, publisher={Springer Verlag}, address={Berlin and Heidelberg}, volume={204}, pages={89-98}, series={Lecture Notes in Computer Science}, year={1985} } @ARTICLE{Mac85, author={M.A.H. MacCallum}, title={On some {Einstein}-{Maxwell} fields of high symmetry}, journal={ Gen. Rel. Grav.}, volume={17}, pages={659-668}, year={1985} } @INCOLLECTION{Mac85a, author={M.A.H. MacCallum}, title={Relativistic cosmological models}, booktitle={Observational and theoretical aspects of relativistic astrophysics and cosmology (Proceedings of the 1984 Santander School)}, editor={J.L. Sanz and L.J. Goicoechea}, publisher={World Scientific}, address={Singapore}, pages={183-228}, year={1985} } @ARTICLE{Mac85b, author={M.A.H. MacCallum}, title={Understanding the solutions of {Einstein's} equations}, journal={ Quart. J. Roy. Astron. Soc.}, volume={26}, pages={127-136}, note={Invited lecture given at the G.C. McVittie 80th birthday meeting. Also appeared in abbreviated form in Bull. {I}nst. {M}aths. {A}pplns., 21, 85-6, 1985.}, year={1985} } @INCOLLECTION{MacBer85, author={M.A.H. MacCallum and N. {Van den Bergh}}, title={Non-inheritance of static symmetry by {Maxwell} fields}, booktitle={Galaxies, axisymmetric systems and relativity: essays presented to W.{B}. {B}onnor on his 65th birthday}, editor={M.A.H. MacCallum}, publisher={Cambridge University Press}, address={Cambridge}, pages={138-148}, year={1985} } @BOOK{Mac85c, author={M.A.H. MacCallum~(ed.)}, title={Galaxies, axisymmetric systems and relativity: essays presented to W.{B}. {B}onnor on his 65th birthday}, publisher={Cambridge University Press}, address={Cambridge}, pages={1-300}, year={1985} } @INCOLLECTION{Mac86, author={M.A.H. MacCallum}, title={Algebraic computing in relativity}, booktitle={Dynamical spacetimes and numerical relativity}, editor={J.M. Centrella}, publisher={Cambridge University Press}, address={Cambridge}, pages={411-445}, year={1986} } @INCOLLECTION{Mac86a, author={M.A.H. MacCallum}, title={Computer-aided classification of exact solutions in general relativity}, booktitle={Gravitational Collapse and Relativity (Proceedings of the XIV Yamada conference)}, editor={H. Sato and T. Nakamura}, publisher={World Scientific}, address={Singapore}, pages={127-140}, year={1986} } @ARTICLE{Mac86b, author={M.A.H. MacCallum}, title={Computer algebra-tomorrow's calculator}, journal={ New Scientist}, number={1531}, pages={52-55}, year={1986} } @ARTICLE{MacAma86, author={M.A.H. MacCallum and J.E. {\AA}man}, title={Algebraically independent $n$-th derivatives of the {Riemann} curvature spinor in a general space-time}, journal={ Class. Quant. Grav.}, volume={3}, pages={1133-1141}, year={1986} } @INCOLLECTION{Mac87, author={M.A.H. MacCallum}, title={Lectures on computer algebra, exact solutions and cosmology}, booktitle={Cosmology and high energy (Proceedings of the second workshop on fundamental physics, University of Puerto Rico at Humacao, 1986)}, editor={E. Esteban}, publisher={Colegio Universitario Humacao}, address={Humacao, Puerto Rico}, pages={1-68}, year={1987} } @INCOLLECTION{Mac87a, author={M.A.H. MacCallum}, title={Strengths and weaknesses of cosmological big-bang theory}, booktitle={Theory and observational limits in cosmology}, editor={W.R. Stoeger}, publisher={Specola Vaticana}, address={Vatican City}, pages={121-142}, year={1987} } @BOOK{Mac87b, author={M.A.H. MacCallum~(ed.)}, title={General Relativity and Gravitation (Proceedings of the 11th international conference, Stockholm, 1986)}, publisher={Cambridge University Press}, address={Cambridge}, pages={1-407}, year={1987} } @ARTICLE{CasMacMan89, author={J. Castejon-Amenedo and M.A.H. MacCallum and V.S. Manko}, title={On an axisymmetric solution of the vacuum {Einstein} equations for a stationary rotating mass}, journal={ Class. Quant. Grav.}, volume={6}, pages={L211-215}, year={1989} } @ARTICLE{FeiMacSen89, author={A. Feinstein and M.A.H. MacCallum and J.M.M. Senovilla}, title={On the ambiguous evolution and production of matter in space-times with colliding waves}, journal={ Class. Quant. Grav.}, volume={6}, pages={L217-221}, year={1989} } @INCOLLECTION{Mac89, author={M.A.H. MacCallum}, title={Algebraic computing in relativistic gravity}, booktitle={Proceedings of the IXth international congress on Mathematical Physics (17-27 July, 1988; Swansea)}, editor={B. Simon and A. Truman and I.M. Davies}, publisher={Adam Hilger}, address={London}, pages={264-267}, year={1989} } @ARTICLE{Mac89a, author={M.A.H. MacCallum}, title={Comments on the performance of algebra systems in general relativity and a recent paper by {Nielsen and Pedersen}}, journal={ ACM SIGSAM Bulletin}, volume={23}, pages={22-25}, year={1989} } @INCOLLECTION{Mac89b, author={M.A.H. MacCallum}, title={Computer algebra in relativistic gravity}, booktitle={Proceedings of the Fifth Marcel Grossmann meeting on general relativity. Part A}, editor={D.G. Blair and M.J. Buckingham}, publisher={World Scientific}, address={Singapore}, pages={1157-1164}, year={1989} } @INCOLLECTION{Mac89c, author={M.A.H. MacCallum}, title={Computer algebra in research and teaching}, booktitle={Proceedings of the sixth annual Algebra Conference of Victoria}, editor={G. Clarke and P. Higgins and K. Horadam}, publisher={Royal Melbourne Institute of Technology}, address={Melbourne}, pages={61-76}, online={papers/other/rmit.tex}, series={Department of Mathematics Technical Report No.1, 1989}, year={1989} } @INCOLLECTION{Mac89d, author={M.A.H. MacCallum}, title={An ordinary differential solver for {REDUCE}}, booktitle={Symbolic and algebraic computation (International symposium ISSAC '88)}, editor={P. Gianni}, publisher={Springer-Verlag}, address={Berlin and Heidelberg}, volume={358}, pages={196-205}, series={Lecture Notes in Computer Science}, year={1989} } @INCOLLECTION{Mac89e, author={M.A.H. MacCallum}, title={An overview of exact solutions of {Einstein's} equations and their classification}, booktitle={Highlights in gravitation and cosmology (Proceedings of the Goa conference 1987)}, editor={B.R. Iyer and A. Kembhavi and J.V. Narlikar and C.V. Vishveshwara}, publisher={Cambridge University Press}, address={London and New York}, pages={3-14}, year={1989} } @INCOLLECTION{Mac89f, author={M.A.H. MacCallum}, title={Symbolic computation in relativity theory}, booktitle={EUROCAL 87 (Proceedings of the European Conference on Computer Algebra, Leipzig, 1987)}, editor={J.H. Davenport}, publisher={Springer-Verlag}, address={Berlin and Heidelberg}, volume={378}, pages={34-43}, series={Lecture Notes in Computer Science}, year={1989} } @BOOK{Ste89, author={H. Stephani}, title={Differential equations - their solution using symmetries}, publisher={Cambridge University Press}, address={New York and London}, pages={1-260}, note={ed. M.A.H. MacCallum}, year={1989} } @ARTICLE{CasMac90, author={J. Castejon-Amenedo and M.A.H. MacCallum}, title={On finding hypersurface-orthogonal {Killing} fields}, journal={ Gen. Rel. Grav.}, volume={22}, pages={393-415}, year={1990} } @ARTICLE{CasMacMan90, author={J. Castejon-Amenedo and M.A.H. MacCallum and V.S. Manko}, title={On event horizons in static vacuum spacetimes}, journal={ Phys. Lett. A}, volume={145}, pages={11-13}, year={1990} } @ARTICLE{JolMac90, author={G.C. Joly and M.A.H. MacCallum}, title={Computer-aided classification of the {Ricci} tensor in general relativity}, journal={ Class. Quant. Grav.}, volume={7}, pages={541-556}, year={1990} } @INCOLLECTION{Mac90, author={M.A.H. MacCallum}, title={Computer algebra and exact solutions of the {Einstein} equations}, booktitle={Recent developments in gravitation (Proceedings of the ``Relativity Meeting -- 89'')}, editor={E. Verdaguer and J. Garriga and J. Cespedes}, publisher={World Scientific}, address={Singapore}, pages={163-191}, year={1990} } @INCOLLECTION{Mac90a, author={M.A.H. MacCallum}, title={The {GR12} Algebraic computing workshop}, booktitle={General Relativity and Gravitation, 1989}, editor={N. Ashby and D.F. Bartlett and W. Wyss}, publisher={Cambridge University Press}, address={Cambridge, New York and Melbourne}, pages={113-120}, year={1990} } @ARTICLE{Mac90b, author={M.A.H. MacCallum}, title={On ``generalized {{Kasner}}'' metrics and the solutions of {Harris and Zund}}, journal={ Wiss. Z. FSU Jena}, volume={39}, number={1}, pages={102-106}, note={Festschrift for E. Schmutzer.}, year={1990} } @ARTICLE{AmadInJol91, author={J.E. {\AA}man and R.A. d'Inverno and G.C. Joly and M.A.H. MacCallum}, title={Quartic equations and classification of {Riemann} tensors in general relativity}, journal={ Gen. Rel. Grav.}, volume={23}, pages={1023-1056}, year={1991} } @INCOLLECTION{Mac91, author={M.A.H. MacCallum}, title={Computer-aided classification of exact solutions in general relativity}, booktitle={General relativity and gravitational physics (9th Italian Conference)}, editor={R. Cianci and R. de Ritis and M. Francaviglia and G. Marmo and C. Rubano and P. {S}cudellaro}, publisher={World Scientific}, address={Singapore}, pages={318-337}, year={1991} } @INCOLLECTION{Mac91a, author={M.A.H. MacCallum}, title={Computer-aided classification of geometries in general relativity}, booktitle={Computer Algebra in Physical Research (IV-th International Conference, Dubna, {USSR}, 1990): memorial volume for N.{N}. {G}ovorun}, editor={D.V. Shirkov and V.V. Rostovtsev and V.P. Gerdt}, publisher={World Scientific}, address={Singapore}, pages={278-287}, year={1991} } @INCOLLECTION{MacWri91, author={M.A.H. MacCallum and F.J. Wright}, title={Algebraic computing with {REDUCE}}, booktitle={Proceedings of the first Brazilian school on computer algebra}, editor={M.J. Rebou\c{c}as and W.L. Roque}, publisher={Oxford University Press}, address={Oxford}, pages={1-294}, year={1991} } @ARTICLE{JolMacSik92, author={G.C. Joly and M.A.H. MacCallum and S.T.C. Siklos}, title={On the {Bampi-Cianci} `generalized axisymmetric solutions'}, journal={ Class. Quant. Grav.}, volume={9}, pages={795-798}, year={1992} } @INCOLLECTION{Mac92, author={M.A.H. MacCallum}, title={Computer algebra in gravity - past, present and future}, booktitle={General Relativity and Relativistic Astrophysics (Proceedings of the 4th Canadian conference)}, editor={G. Kunstatter and D. Vincent and J.G. Williams}, publisher={World Scientific}, address={Singapore}, pages={315-331}, year={1992} } @ARTICLE{Mac92a, author={M.A.H. MacCallum}, title={Gravity is less attractive}, journal={ Gen. Rel. Grav.}, volume={24}, number={April}, pages={461-462}, note={April Fool piece}, year={1992} } @ARTICLE{MacSik92, author={M.A.H. MacCallum and S.T.C. Siklos}, title={Algebraically-special hypersurface-homogeneous {Einstein} spaces in general relativity}, journal={ J. Geom. Phys.}, volume={8}, pages={221-242}, year={1992} } @INCOLLECTION{FonRebMac93, author={J.B. Fonseca-Neto and M.J. Rebou\c{c}as and M.A.H. MacCallum}, title={Algebraic computing in torsion theories of gravitation}, booktitle={Proceedings of IMACS Symposium SC-93 on Symbolic Computation: new trends and developments}, editor={G. Jacob and N.E. Oussous and S. Steinberg}, publisher={IMACS}, address={Lille}, pages={103-109}, year={1993} } @INCOLLECTION{Mac93, author={M.A.H. MacCallum}, title={Anisotropic and inhomogeneous cosmologies}, booktitle={The Renaissance of General Relativity and Cosmology (A survey to celebrate the 65th birthday of Dennis Sciama)}, editor={G. Ellis and A. Lanza and J.C. Miller}, publisher={Cambridge University Press}, address={Cambridge}, pages={213-233}, online={gr-qc/9212014}, year={1993} } @INCOLLECTION{Mac93a, author={M.A.H. MacCallum}, title={Inhomogeneous and anisotropic cosmologies}, booktitle={The origin of structure in the universe}, editor={E. Gunzig and P. Nardone}, publisher={Kluwer}, address={Dordrecht}, volume={393}, pages={131-159}, online={gr-qc/9212013}, series={NATO ASI Series C}, year={1993} } @INCOLLECTION{Mac93b, author={M.A.H. MacCallum}, title={{ODESOLVE} and {PSODE}}, booktitle={ESPRIT Working Group CATHODE first technical report: Proceedings of the Han Workshop}, editor={J. Sengier}, publisher={Universite Libre}, address={Bruxelles}, pages={1-11}, online={papers/other/hanme.tex}, year={1993} } @INCOLLECTION{Mac93c, author={M.A.H. MacCallum}, title={Report of the non-linear equations group discussion}, booktitle={ESPRIT Working Group CATHODE first technical report: Proceedings of the Han Workshop}, editor={J. Sengier}, publisher={Universite Libre}, address={Bruxelles}, pages={1-11}, online={papers/other/hannl.tex}, year={1993} } @ARTICLE{PaiRebMac93, author={F.M. Paiva and M.J. Rebou\c{c}as and M.A.H. MacCallum}, title={On limits of spacetimes -- a coordinate-free approach}, journal={ Class. Quant. Grav.}, volume={10}, pages={1165-1178}, online={gr-qc/9302005}, year={1993} } @ARTICLE{BonGriMac94, author={W.B. Bonnor and J.B. Griffiths and M.A.H. MacCallum}, title={Physical interpretation of vacuum solutions of {Einstein's} equations. {P}art {II}. {T}ime-dependent solutions}, journal={ Gen. Rel. Grav. }, volume={26}, pages={687-729}, year={1994} } @INCOLLECTION{Mac94, author={M.A.H. MacCallum}, title={Relativistic cosmologies}, booktitle={Deterministic chaos in general relativity}, editor={D.W. Hobill and A. Burd and A. Coley}, publisher={Plenum Press}, address={New York}, volume={332}, pages={179-201}, series={Nato ASI Series B}, year={1994} } @INCOLLECTION{MacSke94, author={M.A.H. MacCallum and J.E.F. Skea}, title={{SHEEP}: a computer algebra system for general relativity}, booktitle={Algebraic computing in general relativity (Proceedings of the first Brazilian school on computer algebra, vol 2)}, editor={M.J. Rebou\c{c}as and W.L. Roque}, publisher={Oxford University Press}, address={Oxford}, pages={1-172 and index pp. 361-9}, year={1994} } @ARTICLE{ChrMacSin95, author={P.T. Chrusciel and M.A.H. MacCallum and D.B. Singleton}, title={Gravitational waves in general relativity: {XIV}. {B}ondi expansions and the ``polyhomogeneity'' of Scri}, journal={ Phil. Trans. Roy. Soc. A}, volume={350}, pages={113-141}, online={gr-qc/9305021}, year={1995} } @INCOLLECTION{Mac95, author={M.A.H. MacCallum}, title={Exact inhomogeneous models and their significance for cosmology}, booktitle={Inhomogeneous cosmological models (Proceedings of the Spanish Relativity Meeting, {ERE} 94, Mao, Menorca)}, editor={A. Molina and J.M.M. Senovilla}, publisher={World Scientific}, address={Singapore}, pages={3-26}, year={1995} } @INCOLLECTION{Mac95a, author={M.A.H. MacCallum}, title={Goals of {Cathode}, overview of problems, research and results}, booktitle={Cathode Workshop Nijmegen}, editor={A.H.M. Levelt}, publisher={University of Nijmegen}, address={Department of Mathematics}, pages={9-14}, online={papers/other/nijm.tex}, year={1995} } @INCOLLECTION{Mac95b, author={M.A.H. MacCallum}, title={Using computer algebra to solve ordinary differential equations}, booktitle={Computer algebra in industry 2: Problem solving in practice}, editor={A.M. Cohen and L.J. van Gastel and S.M. Verduyn Lunel}, publisher={John Wiley and Sons}, address={Chichester}, pages={19-41}, year={1995} } @ARTICLE{FonRebMac96, author={J.B. Fonseca-Neto and M.J. Rebou\c{c}as and M.A.H. MacCallum}, title={Algebraic computing in torsion theories of gravitation}, journal={ Mathematics and computers in simulation}, volume={42}, number={4-6}, pages={739-748}, year={1996} } @INCOLLECTION{Mac96, author={M.A.H. MacCallum}, title={Computer algebra and applications in relativity and gravity}, booktitle={Recent Developments in Gravitation and Mathematical Physics: Proceedings of the First Mexican School on Gravitation and Mathematical Physics}, editor={A. Macias and T. Matos and O. Obregon and H. Quevedo}, publisher={World Scientific}, address={Singapore}, pages={3-41}, year={1996} } @ARTICLE{Mac96a, author={M.A.H. MacCallum}, title={Computer algebra and differential equations}, journal={ Mathematics and Computers in Simulation}, volume={42}, pages={385-386}, note={Editorial introduction}, year={1996} } @INCOLLECTION{DadMac97, author={N. Dadhich and M.A.H. MacCallum}, title={Report on the Workshop on Classical General Relativity}, booktitle={Gravitation and cosmology (Proceedings of ICGC-95)}, editor={S. Dhurandhar and T. Padmanabhan}, publisher={Kluwer Academic}, address={Dordrecht}, pages={279-296}, year={1997} } @ARTICLE{Lem33, author={G. Lema\^{\i}tre}, title={L'univers en expansion}, journal={ Ann. Soc. Sci. Bruxelles A}, volume={53}, pages={51}, note={Translation by M.A.H. MacCallum in Gen. Rel. Grav., 29, 641-680 (1997)}, year={1933} } @INCOLLECTION{Mac97, author={M.A.H. MacCallum}, title={Closing summary}, booktitle={Gravitation and cosmology (Proceedings of ICGC-95)}, editor={S. Dhurandhar and T. Padmanabhan}, publisher={Kluwer Academic}, address={Dordrecht}, pages={199-303}, year={1997} } @INCOLLECTION{Mac97a, author={M.A.H. MacCallum}, title={Solving differential equations by computer algebra}, booktitle={Differential and Difference Equations and computer algebra: in honour of A.{H}.{M}. {L}evelt}, editor={E. Hubbers}, publisher={University of Nijmegen}, address={Nijmegen}, pages={23-31}, online={papers/levelt/levelt.tex}, year={1997} } @INCOLLECTION{Mac97b, author={M.A.H. MacCallum}, title={Theoretical and mathematical cosmology}, booktitle={General Relativity and Gravitation: Proceedings of the 14th International Conference}, editor={M. Francaviglia and G. Longhi and L. Lusanna and E. Sorace}, publisher={World Scientific}, address={Singapore}, pages={503-509}, year={1997} } @ARTICLE{ManMac97, author={Y.K. Man and M.A.H. MacCallum}, title={A rational approach to the {Prelle-Singer} algorithm}, journal={ J. Symb. Comp.}, volume={24}, pages={31-43}, year={1997} } @ARTICLE{BonSanMac98, author={W.B. Bonnor and N.O. Santos and M.A.H. MacCallum}, title={An exterior for the G\"odel spacetime}, journal={ Class. Quant. Grav.}, volume={15}, pages={357-366}, online={gr-qc/9711011}, year={1998} } @ARTICLE{ChrJezMac98, author={P.T. Chrusciel and J. Jezierski and M.A.H. Maccallum}, title={Uniqueness of the {Trautman}-{Bondi} mass: art. no. 084001}, journal={ Phys. Rev. D}, volume={5808}, pages={4001 (16 pages)}, online={gr-qc/9803010}, year={1998} } @ARTICLE{ChrJezMac98a, author={P.T. Chru\'sciel and J. Jezierski and M.A.H. MacCallum}, title={Uniqueness of scalar field energy and gravitational energy in the radiating regime}, journal={ Phys. Rev. Lett.}, volume={80}, pages={5052--5055}, note={Was: Uniqueness of the mass in the radiating regime}, online={gr-qc/9801073}, year={1998} } @ARTICLE{Mac98, author={M.A.H. MacCallum}, title={Hypersurface-orthogonal generators of an orthogonally transitive $G_2I$, topological identifications, and axially and cylindrically symmetric spacetimes}, journal={ Gen. Rel. Grav.}, volume={30}, pages={131-150}, online={gr-qc/9710024}, year={1998} } @INCOLLECTION{Mac98a, author={M.A.H. MacCallum}, title={Integrability in tetrad formalisms and conservation in cosmology}, booktitle={Current Topics in Mathematical Cosmology (Proceedings of the International Seminar)}, editor={M. Rainer and H.-J. Schmidt}, publisher={World Scientific}, address={Singapore}, pages={133-142}, note={gr-qc/9806003}, online={papers/consis/potsdam.tex}, year={1998} } @ARTICLE{MacSan98, author={M.A.H. MacCallum and N.O. Santos}, title={Stationary and static cylindrically symmetric {Einstein} spaces of the {Lewis} form}, journal={ Class. Quant. Grav.}, volume={15}, pages={1627-1636}, online={gr-qc/9712028}, year={1998} } @ARTICLE{PaiRebHal98, author={F.M. Paiva and M.J. Rebou\c{c}as and G.S. Hall and M.A.H. MacCallum}, title={Limits of the energy-momentum tensor in general relativity}, journal={ Class. Quant. Grav.}, volume={15}, pages={1031-1041}, online={gr-qc/9708045}, year={1998} } @ARTICLE{AmaFonMac98, author={J.E. {\AA}man and J.B. Fonseca-Neto and M.A.H. MacCallum and M.J. Rebou\c{c}as}, title={{Riemann}-{Cartan} Space-times of {G\"odel} Type}, journal={ Class. Quant. Grav.}, volume={15}, pages={1089-1101}, online={gr-qc/9711064}, year={1998} } @INCOLLECTION{Mac99, author={M.A.H. MacCallum}, title={On the enumeration of the real four-dimensional {Lie} algebras}, booktitle={On Einstein's Path: essays in honor of Engelbert Schucking}, editor={A.L. Harvey}, publisher={Springer Verlag}, address={New York}, pages={299-317}, note={First version circulated as a preprint in 1979.}, online={papers/schucking/liealg.tex}, year={1999} } @ARTICLE{Bel62, author={L. Bel}, title={Les \'etats de radiation et le probl\`eme de l'energie en relativit\'e g\'en\'erale}, journal={ Cah. Phys.}, volume={16}, pages={59-80}, note={Translation "Radiation states and the problem of energy in general relativity" by M.{A}.{H}. {M}acCallum, Gen. {R}el. {G}rav. 32, 2047-2078 (2000)}, online={papers/other/bel.tex}, year={1962} } @ARTICLE{Mac00, author={M.A.H. MacCallum}, title={Discrete symmetries of spacetime}, journal={ Ann. Phys. (Leipzig)}, volume={9}, pages={SI 125-128}, note={This is a special number containing the proceedings of the 1999 Journees Relativistes}, online={papers/weimar/weimar.tex}, year={2000} } @INCOLLECTION{Mac00a, author={M.A.H. MacCallum}, title={Symbolic and algebraic computation}, booktitle={Encyclopaedia of Computer Science and Technology}, editor={A. Kent and J.G. Williams}, publisher={Marcel Dekker}, address={New York}, volume={42, Supplement 27}, pages={371-390}, online={papers/other/encycl.tex}, year={2000} } @ARTICLE{Mac00b, author={M.A.H. MacCallum}, title={Workshop 1: Dynamics of the {Einstein} field equations}, journal={ Gen. Rel. Grav.}, volume={32}, pages={999-1004}, note={Special number of Gen. Rel. Grav. containing the proceedings of the 1999 South African Relativity Society honouring the 60th birthday of G.{F}.{R}. {E}llis, edited by M.{A}.{H}. {M}acCallum, P.{K}.{S}. {D}unsby and R.{A}. {M}aartens (editorial introduction pp. 975-998)}, online={papers/other/sars99.tex}, year={2000} } @ARTICLE{Pet54, author={A.Z. Petrov}, title={The classification of spaces defining gravitational fields}, journal={ Scientific Proceedings of Kazan State University (named after V.{I}. {U}lyanov-Lenin), Jubilee (1804-1954) Collection}, volume={114}, number={8}, pages={55-69}, note={Translation by J. Jezierski and M.A.H. MacCallum, with introduction by M.{A}.{H}. {M}acCallum, Gen. {R}el. {G}rav. 32, 1661-1685 (2000)}, online={papers/petrov/petrov.tex}, year={1954} } @ARTICLE{NayMacVis01, author={K. Rajesh Nayak and M.A.H. MacCallum and C.V. Vishveshwara}, title={Black holes in non-flat backgrounds: the {{Schwarzschild}} black hole in the {Einstein} Universe}, journal={ Phys. Rev. D}, volume={63}, pages={024020 (5 pages)}, online={gr-qc/0006040}, year={2001} } @ARTICLE{Nov64, author={I.D. Novikov}, title={R- and T-regions in space-time with spherically symmetric space}, journal={ Soobscenija GAIS [Communications of the Sternberg State Astronomical Institute]}, volume={132}, number={3}, pages={3-42}, note={Translation by S.B. Beisekeev and M.A.H. MacCallum in Gen. {R}el. {G}rav. 33, 2259-2295 (2001)}, online={papers/novikov/novikov.tex}, year={1964} } @ARTICLE{Mac02, author={M.A.H. MacCallum}, title={Computer algebra in general relativity}, journal={ Int. J. Mod. Phys. A}, volume={17}, pages={2707-2710}, note={Special issue: Proceedings of the conference on general relativity, cosmology and relativistic astrophysics (Journ\'ees Relativistes), ed.\ C. {B}arrab\`es and P.{A}. {H}ogan}, online={papers/dublin/dublin.pdf}, year={2002} } @INCOLLECTION{MenMac02, author={F.C. Mena and M.A.H. MacCallum}, title={Locally discretely isotropic space-times}, booktitle={Proceedings of the Ninth Marcel Grossmann Meeting on General Relativity}, editor={V.G. Gurzadyan and R.T. Jantzen and R. Ruffini}, publisher={World Scientific}, address={Singapore}, pages={1976}, online={papers/mena/MGIX-paper.tex }, year={2002} } @TECHREPORT{Mac03, author={M.A.H. MacCallum}, title={Rewriting the exact solutions book (and how we handled the cosmological solutions)}, institution={Warsaw}, pages={13}, online={http://www.impan.gov.pl/Gravitation/ConfProc/index.html}, number={In online proceedings of ``Mathematics of Gravitation II''}, year={2003} } @INCOLLECTION{MacVal03, author={M.A.H. MacCallum and J. Valiente~Kroon}, title={Polyhomogeneous asymptotics in spacetimes}, booktitle={Talk given in the "Hyperbolic models in astrophysics and cosmology" meeting at the Isaac {Newton} Institute, June 2003}, publisher={Isaac Newton Institute}, address={Cambridge}, online={http://www.newton.cam.ac.uk/webseminars/pg+ws/2003/NPAW03/0625/maccallum/frame-intro.html}, year={2003} } @BOOK{SteKraMac03, author={H. Stephani and D. Kramer and M.A.H. MacCallum and C.A. Hoenselaers and E. Herlt}, title={Exact solutions of {Einstein's} field equations, 2nd edition}, publisher={Cambridge University Press}, address={Cambridge}, pages={1-701 + xxix}, note={Corrected Paperback edition, 2009}, year={2003} } @ARTICLE{Mac04, author={M.A.H. MacCallum}, title={Editorial introduction to ``Empty space-times admitting a three parameter group of motions'' by A.{H}. {T}aub}, journal={ Gen. Rel. Grav.}, volume={36}, pages={2689-95}, online={papers/taub/taubedfinal.tex}, year={2004} } @ARTICLE{Mac06, author={M.A.H. MacCallum}, title={Concluding remarks}, journal={ Gen. Rel. Grav.}, volume={38}, pages={1129-1134}, note={Speech at my 60th birthday conference}, year={2006} } @INCOLLECTION{Mac06a, author={M.A.H. MacCallum}, title={Finding and using exact solutions of the {Einstein} equations}, booktitle={A Century of Relativity Physics (ERE05, the XXVIII Spanish Relativity Meeting)}, editor={L. Mornas and J.D. Alonso}, publisher={American Institute of Physics}, address={Melville, New York}, pages={129-143}, online={gr-qc/0601102}, year={2006} } @ARTICLE{Mac06b, author={M.A.H. MacCallum}, title={On singularities, horizons, invariants, and the results of Antoci, {Lie}bscher and Mihich ({GRG} 38, 15 (2006) and earlier).}, journal={ Gen. Rel. Grav.}, volume={38}, pages={1887-1899}, online={gr-qc/0608033}, year={2006} } @ARTICLE{ParMac06, author={M.J. Pareja and M.A.H. MacCallum}, title={Local freedom in the gravitational field revisited}, journal={ Class. Quant. Grav.}, volume={23}, pages={5039-5048}, online={gr-qc/0605075}, year={2006}, annote={http://stacks.iop.org/0264-9381/23/5039 doi:10.1088/0264-9381/23/15/019} } @ARTICLE{DiPHerLeD07, author={A. Di~Prisco and L. Herrera and G. Le~Denmat and M.A.H. MacCallum and N.O. Santos}, title={Nonadiabatic charged spherical gravitational collapse}, journal={ Phys. Rev. D.}, volume={76}, pages={064017 (9 pages)}, note={DOI 10.1103/PhysRevD.76.064017}, online={arXiv:0707.2794}, year={2007}, annote={PRD submission DE10447} } @ARTICLE{EllMaaMac07, author={G.F.R. Ellis and R. Maartens and M.A.H. MacCallum}, title={Causality and the speed of sound}, journal={ Gen. Rel. Grav.}, volume={39}, pages={1651-1660}, note={10.1007/s10714-007-0479-2}, online={gr-qc/0703121}, year={2007} } @ARTICLE{HerMacSan07, author={L. Herrera and M.A.H. MacCallum and N.O. Santos}, title={Corrigendum: Cylindrical collapse and gravitational waves}, journal={ Class. Quant. Grav.}, volume={24}, pages={1033}, online={gr-qc/0611147 }, year={2007}, annote={Was: On the Matching Conditions for the Collapsing Cylinder} } @ARTICLE{MacMarVer07, author={M.A.H. MacCallum and M. Mars and R. Vera}, title={Stationary axisymmetric exteriors for perturbations of isolated bodies in general relativity, to second order}, journal={ Phys. Rev. D}, volume={75}, number={2}, pages={024017 (19 pp.)}, online={gr-qc/0609127}, year={2007}, annote={Was First and second order exterior metrics of stationary and axially symmetric slowly rotating stars {DOI} = 10.1103/PhysRevD.75.024017 {URL}: http://link.aps.org/abstract/{PRD/}v75/e024017} } @INCOLLECTION{MacMarVer07a, author={M.A.H. MacCallum and M. Mars and R. Vera}, title={Second order perturbations of rotating bodies in equilibrium; the exterior vacuum problem}, booktitle={Beyond General Relativity, Proceedings of the 2004 Spanish Relativity Meeting 2004 ({ERE} 2004)}, editor={Natxo Alonso-Alberca and Enrique \'Alvarez and Tom\'as Ort\'in and Miguel \'Angel V\'azquez-Mozo}, publisher={Ediciones de la Universidad Aut\'onoma de Madrid}, address={Madrid}, volume={119}, pages={167-172}, note={ISBN: 978-84-8344-059-9}, online={papers/vera/pertmatch\_ERE2004.tex}, series={Colecci\'on de Estudios}, year={2007} } @BOOK{MacMik09, author={M.A.H. MacCallum and A.V. Mikhailov}, title={Algebraic Theory of Differential Equations}, publisher={Cambridge University Press}, address={Cambridge}, pages={1-240}, series={LMS Lecture Notes series}, year={2009} } @ARTICLE{ColHerLim09, author={A. Coley and S. Hervik and W.C. Lim and M.A.H. MacCallum}, title={Properties of kinematic singularities}, journal={ Class. Quant. Grav.}, volume={26}, pages={215008}, online={arXiv:0907.1620}, year={2009} } @ARTICLE{DiPHerMac09, author={A. Di~Prisco and L. Herrera and M.A.H. MacCallum and N.O. Santos}, title={Shearfree cylindrical gravitational collapse}, journal={ Phys. Rev. D}, volume={80}, pages={064031}, note={DOI: 10.1103/PhysRevD.80.064031}, online={arXiv:0904.0706}, year={2009} } @ARTICLE{GarMacMar10, author={J. Gariel and M.A.H. MacCallum and G. Marcilhacy and N.O. Santos}, title={{Kerr} Geodesics, the {Penrose} Process and Jet Collimation by a Black Hole}, journal={ Astron. Astrophys.}, volume={515}, pages={A15-19}, online={gr-qc/0702123v2}, year={2010} } @ARTICLE{Mac11, author={M.A.H. MacCallum}, title={Editorial note to: T. {L}evi-Civita, The physical reality of some normal spaces of {Bianchi} and to: {Einsteinian} $ds^2$ in {Newtonian} fields {IX}: The analog of the logarithmic potential}, journal={ Gen. Rel. Grav.}, volume={43}, pages={2297-2306}, year={2011} } @BOOK{EllMaaMac11, author={G.F.R. Ellis and R. Maartens and M.A.H. MacCallum}, title={Relativistic cosmology}, publisher={Cambridge University Press}, address={Cambridge}, pages={1-700}, note={In press}, year={2011} }