- G.F.R. Ellis and M.A.H. MacCallum
A class of homogeneous cosmological models
Comm. math. phys. 12, 108-141 (1969).
- M.A.H. MacCallum and G.F.R. Ellis
A class of homogeneous cosmological models II: observations
Comm. math. phys. 19, 31-64 (1970).
- M.A.H. MacCallum, J.M. Stewart, and B.G. Schmidt
Anisotropic stresses in homogeneous cosmologies
Comm. math. phys. 17, 343-7 (1970).
- J.M. Stewart, M.A.H. MacCallum, and D.W. Sciama
Thermodynamics and cosmology
Comments in Astrophys. and Space Phys. 2, 206-8 (1970).
- M.A.H. MacCallum
A class of homogeneous cosmological models III: asymptotic
behaviour
Comm. math. phys. 20, 57-84 (1971).
- M.A.H. MacCallum
On the mixmaster universe problem
Nature (Phys. Sci.) 230, 112-3 (1971).
- M.A.H. MacCallum
On the pulsating universe of Sengupta
Phys. Lett. A 35, 474 (1971).
- M.A.H. MacCallum
On criteria of cosmological spatial homogeneity
Phys. Lett. A 40, 325-6 (1972).
- M.A.H. MacCallum
On `diagonal' Bianchi cosmologies
Phys. Lett. A 40, 385-6 (1972).
- M.A.H. MacCallum and A.H. Taub
Variational principles and spatially homogeneous universes, including
rotation
Comm. math. phys. 25, 173-189 (1972).
- M.A.H. MacCallum
Cosmological models from the geometric point of view
In Cargese Lectures in Physics, vol. 6, ed. E. Schatzman, pages 61-174.
Gordon and Breach, New York (1973).
- M.A.H. MacCallum and A.H. Taub
The averaged Lagrangian and high-frequency gravitational waves
Comm. math. phys. 30, 153-170 (1973).
- R. Penrose and M.A.H. MacCallum
Twistor theory: an approach to the quantisation of fields and
space-time
Phys. Reports (Phys. Lett. C) 6, 241-316 (1973)
(Russian translation: 'Teoria tvistorov: podkhod k kvantovanalo polyem i
prostantsva-vremeni', translated by A.G. Sergeeva, in 'Tvistorii i
kalibrovochnie polya, cbornik statei', pp. 131-224, ed. V.V. Zharinov,
Mir, Moscow, 1983).
- M.A.H. MacCallum
Quantum cosmological models
In Quantum gravity: an Oxford symposium, ed. C.J. Isham, R. Penrose, and
D.W. Sciama, pages 174-218. Oxford University Press, Oxford (1975).
- M.A.H. MacCallum
Cosmology and curved space quantum theory
In Transactions of the International Astronomical Union, vol. XVIA, part 3
(Section 5 of the report of Commission 47), ed. G. Contopoulos, pages
148-151. D. Reidel and Co., Dordrecht (1976).
- M.A.H. MacCallum
Comment on `A class of Bianchi type VI cosmological models with
electromagnetic field' by Dunn and Tupper
Astrophys. J. 212, 946 (1977).
- M.A.H. MacCallum
Anisotropic cosmologies
Rendiconti di Seminario Matematico Univers. Politec. Torino 36, 27-34
(1978).
- M.A.H. MacCallum
Anisotropic and inhomogeneous relativistic cosmologies
In General relativity: an Einstein centenary survey, ed. S.W. Hawking
and W. Israel, pages 533-580. Cambridge University Press, Cambridge
(1979)
(Russian translation: In `Obshchaya teoria otnositel'nosti' edited by Ya. A.
Smorodinskii and V.B. Braginskii, Mir, Moscow, 1983. Also reprinted
on pp. 179-236 in ``The early universe: reprints'', ed. E.W. Kolb and
M.S. Turner, Addison-Wesley, Reading, Mass. 1988.).
- M.A.H. MacCallum
Comment
Gen. Rel. Grav. 10, 1039-40 (1979)
(Contribution to the GR8 symposium on singularities.).
- M.A.H. MacCallum
The mathematics of anisotropic spatially-homogeneous cosmologies
In Physics of the expanding universe, ed. M. Demianski, volume 109 of
Lecture Notes in Physics pages 1-59. Springer-Verlag, Berlin and
Heidelberg (1979).
- D. Kramer, H. Stephani, M.A.H. MacCallum, and E. Herlt
Exact solutions of Einstein's field equations
Deutscher Verlag der Wissenschaften, Berlin, and Cambridge University Press,
Cambridge (1980)
(Russian translation: "Tochnie resheniya uravnenii Einshteina", 418 pp.,
translated by I.V. Mitskievich, V.D. Zakharov and S.V.
Rumyantsev and edited by Yu. S. Vladimirov, Energoisdat, Moscow,
1982).
- M.A.H. MacCallum
Locally isotropic spacetimes with non-null homogeneous
hypersurfaces
In Essays in general relativity (A festschrift for A.H. Taub), ed. F.J.
Tipler, pages 121-138. Academic Press, New York (1980).
- M.A.H. MacCallum and S.T.C. Siklos
Homogeneous and hypersurface-homogeneous Einstein spaces
In Abstracts of contributed papers for the 9th international conference on
general relativity and gravitation, Jena, DDR, 1980, vol. 1, ed. E.
Schmutzer, pages 54-55. International Society on General Relativity and
Gravitation, Jena (1980).
- W.B. Bonnor and M.A.H. MacCallum
The Melnick-Tabensky solutions have high symmetry
J. Math. Phys. 23, 1539-40 (1982).
- A. Karlhede and M.A.H. MacCallum
On determining the isometry group of a Riemannian manifold
Gen. Rel. Grav. 14, 673-682 (1982).
- M.A.H. MacCallum
Relativistic cosmologies
Irish Astron. J. 15, 125-127 (1982).
- M.A.H. MacCallum
Relativistic cosmology for astrophysicists
In Origin and evolution of the galaxies, ed. V. de Sabbata, pages 9-33.
World Scientific, Singapore (1982)
Also, in revised form, in ``Origin and evolution of the galaxies'', ed.
B.J.T. and J.E. Jones, Nato Advanced Study Institute Series, 97, pp.
9-39, D.Reidel and Co., Dordrecht, 1983.
- M.A.H. MacCallum, A. Moussiaux, P. Tombal, and J. Demaret
Comment on ``On the general solution for `diagonal' vacuum Bianchi type
III model with a cosmological constant''
J. Phys. A 15, 1757-8 (1982).
- M.A.H. MacCallum, A. Spero, and D.A. Szafron
On the geometry of the Zel'manov-Grishchuk homogeneity criterion
Phys. Lett. A 87, 157-8 (1982).
- M.A.H. MacCallum
Classifying metrics in theory and practice
In Unified field theories of more than 4 dimensions, including exact
solutions, ed. V. de Sabbata and E. Schmutzer, pages 352-382. World
Scientific, Singapore (1983).
- M.A.H. MacCallum
Proposed format for recording the invariant characterization of exact
solutions
In Contributed papers of the 10th international conference on general
relativity and gravitation, ed. B. Bertotti, F. de Felice, and A.
Pascolini, pages 301-3. Consiglione Nazionale di Ricerce, Rome (1983).
- M.A.H. MacCallum
Static and stationary `cylindrically symmetric' Einstein-Maxwell
fields, and the solutions of Van den Bergh and Wils
J. Phys. A 16, 3853-66 (1983).
- J.E. Åman, R.A. d'Inverno, G.C. Joly, and M.A.H. MacCallum
Quartic equations and algorithms for Riemann tensor
classification
In EUROSAM 84: Proceedings of the 1984 European conference on symbolic and
algebraic manipulation, ed. J. Fitch, volume 174 of Lecture Notes in
Computer Science pages 47-58. Springer Verlag, Berlin and Heidelberg
(1984).
- W.B. Bonnor, J.N. Islam, and M.A.H. MacCallum (eds.)
Classical general relativity (Proceedings of the 1983 London conference on
classical (non-quantum) general relativity)
Cambridge University Press, Cambridge (1984).
- D. Kramer, H. Stephani, M.A.H. MacCallum, and E. Herlt
Exact solutions of Einstein's field equations: corrections
Preprint (unpublished), Queen Mary College (1984).
- M.A.H. MacCallum
Algebraic computing in general relativity
In Classical general relativity (Proceedings of the 1983 London conference
on classical (non-quantum) general relativity), ed. W.B. Bonnor, J.N.
Islam, and M.A.H. MacCallum, pages 145-171. Cambridge University Press,
Cambridge (1984).
- M.A.H. MacCallum
Exact solutions and singularities. Report of workshop A2
In General Relativity and Gravitation (Proceedings of the 10th international
conference on general relativity and gravitation, Padova, 1983), ed. B.
Bertotti, F. de Felice, and A. Pascolini, pages 69-81. D. Reidel and Co.,
Dordrecht (1984).
- M.A.H. MacCallum
Exact solutions in cosmology
In Solutions of Einstein's equations: techniques and results (Retzbach,
Germany, 1983), ed. C. Hoenselaers and W. Dietz, volume 205 of
Lecture Notes in Physics pages 334-366. Springer Verlag, Berlin and
Heidelberg (1984).
- J.E. Åman, R.A. d'Inverno, G.C. Joly, and M.A.H. MacCallum
Progress on the equivalence problem
In EUROCAL 85: proceedings of the European conference on computer algebra,
Linz, Austria, vol. 2, ed. B.F. Caviness, volume 204 of Lecture Notes
in Computer Science pages 89-98. Springer Verlag, Berlin and Heidelberg
(1985).
- M.A.H. MacCallum
On some Einstein-Maxwell fields of high symmetry
Gen. Rel. Grav. 17, 659-668 (1985).
- M.A.H. MacCallum
Relativistic cosmological models
In Observational and theoretical aspects of relativistic astrophysics and
cosmology (Proceedings of the 1984 Santander School), ed. J.L. Sanz and
L.J. Goicoechea, pages 183-228. World Scientific, Singapore (1985).
- M.A.H. MacCallum
Understanding the solutions of Einstein's equations
Quart. J. Roy. Astron. Soc. 26, 127-136 (1985)
Invited lecture given at the G.C. McVittie 80th birthday meeting. Also appeared
in abbreviated form in Bull. Inst. Maths. Applns., 21, 85-6, 1985.
- M.A.H. MacCallum and N. Van den Bergh
Non-inheritance of static symmetry by Maxwell fields
In Galaxies, axisymmetric systems and relativity: essays presented to W.B.
Bonnor on his 65th birthday, ed. M.A.H. MacCallum, pages 138-148.
Cambridge University Press, Cambridge (1985).
- M.A.H. MacCallum (ed.)
Galaxies, axisymmetric systems and relativity: essays presented to W.B.
Bonnor on his 65th birthday
Cambridge University Press, Cambridge (1985).
- M.A.H. MacCallum
Algebraic computing in relativity
In Dynamical spacetimes and numerical relativity, ed. J.M. Centrella,
pages 411-445. Cambridge University Press, Cambridge (1986).
- M.A.H. MacCallum
Computer-aided classification of exact solutions in general
relativity
In Gravitational Collapse and Relativity (Proceedings of the XIV Yamada
conference), ed. H. Sato and T. Nakamura, pages 127-140. World
Scientific, Singapore (1986).
- M.A.H. MacCallum
Computer algebra-tomorrow's calculator
New Scientist (1531), 52-55 (1986).
- M.A.H. MacCallum and J.E. Åman
Algebraically independent $n$-th derivatives of the Riemann curvature
spinor in a general space-time
Class. Quant. Grav. 3, 1133-1141 (1986).
- M.A.H. MacCallum
Lectures on computer algebra, exact solutions and cosmology
In Cosmology and high energy (Proceedings of the second workshop on
fundamental physics, University of Puerto Rico at Humacao, 1986), ed. E.
Esteban, pages 1-68. Colegio Universitario Humacao, Humacao, Puerto Rico
(1987).
- M.A.H. MacCallum
Strengths and weaknesses of cosmological big-bang theory
In Theory and observational limits in cosmology, ed. W.R. Stoeger,
pages 121-142. Specola Vaticana, Vatican City (1987).
- M.A.H. MacCallum (ed.)
General Relativity and Gravitation (Proceedings of the 11th international
conference, Stockholm, 1986)
Cambridge University Press, Cambridge (1987).
- J. Castejon-Amenedo, M.A.H. MacCallum, and V.S. Manko
On an axisymmetric solution of the vacuum Einstein equations for a
stationary rotating mass
Class. Quant. Grav. 6, L211-215 (1989).
- A. Feinstein, M.A.H. MacCallum, and J.M.M. Senovilla
On the ambiguous evolution and production of matter in space-times with
colliding waves
Class. Quant. Grav. 6, L217-221 (1989).
- M.A.H. MacCallum
Algebraic computing in relativistic gravity
In Proceedings of the IXth international congress on Mathematical Physics
(17-27 July, 1988; Swansea), ed. B. Simon, A. Truman, and I.M. Davies,
pages 264-267. Adam Hilger, London (1989).
- M.A.H. MacCallum
Comments on the performance of algebra systems in general relativity and a
recent paper by Nielsen and Pedersen
ACM SIGSAM Bulletin 23, 22-25 (1989).
- M.A.H. MacCallum
Computer algebra in relativistic gravity
In Proceedings of the Fifth Marcel Grossmann meeting on general relativity.
Part A, ed. D.G. Blair and M.J. Buckingham, pages 1157-1164. World
Scientific, Singapore (1989).
- M.A.H. MacCallum
Computer algebra in research and teaching
In Proceedings of the sixth annual Algebra Conference of Victoria, ed.
G. Clarke, P. Higgins, and K. Horadam, Department of Mathematics Technical
Report No.1, 1989 pages 61-76. Royal Melbourne Institute of Technology,
Melbourne (1989)
Available on line .
- M.A.H. MacCallum
An ordinary differential solver for REDUCE
In Symbolic and algebraic computation (International symposium ISSAC
'88), ed. P. Gianni, volume 358 of Lecture Notes in Computer
Science pages 196-205. Springer-Verlag, Berlin and Heidelberg (1989).
- M.A.H. MacCallum
An overview of exact solutions of Einstein's equations and their
classification
In Highlights in gravitation and cosmology (Proceedings of the Goa
conference 1987), ed. B.R. Iyer, A. Kembhavi, J.V. Narlikar, and C.V.
Vishveshwara, pages 3-14. Cambridge University Press, London and New York
(1989).
- M.A.H. MacCallum
Symbolic computation in relativity theory
In EUROCAL 87 (Proceedings of the European Conference on Computer Algebra,
Leipzig, 1987), ed. J.H. Davenport, volume 378 of Lecture Notes in
Computer Science pages 34-43. Springer-Verlag, Berlin and Heidelberg
(1989).
- H. Stephani
Differential equations - their solution using symmetries
Cambridge University Press, New York and London (1989)
ed. M.A.H. MacCallum.
- J. Castejon-Amenedo and M.A.H. MacCallum
On finding hypersurface-orthogonal Killing fields
Gen. Rel. Grav. 22, 393-415 (1990).
- J. Castejon-Amenedo, M.A.H. MacCallum, and V.S. Manko
On event horizons in static vacuum spacetimes
Phys. Lett. A 145, 11-13 (1990).
- G.C. Joly and M.A.H. MacCallum
Computer-aided classification of the Ricci tensor in general
relativity
Class. Quant. Grav. 7, 541-556 (1990).
- M.A.H. MacCallum
Computer algebra and exact solutions of the Einstein equations
In Recent developments in gravitation (Proceedings of the ``Relativity
Meeting -- 89''), ed. E. Verdaguer, J. Garriga, and J. Cespedes, pages
163-191. World Scientific, Singapore (1990).
- M.A.H. MacCallum
The GR12 Algebraic computing workshop
In General Relativity and Gravitation, 1989, ed. N. Ashby, D.F.
Bartlett, and W. Wyss, pages 113-120. Cambridge University Press, Cambridge,
New York and Melbourne (1990).
- M.A.H. MacCallum
On ``generalized Kasner'' metrics and the solutions of Harris and
Zund
Wiss. Z. FSU Jena 39(1), 102-106 (1990)
Festschrift for E. Schmutzer.
- J.E. Åman, R.A. d'Inverno, G.C. Joly, and M.A.H. MacCallum
Quartic equations and classification of Riemann tensors in general
relativity
Gen. Rel. Grav. 23, 1023-1056 (1991).
- M.A.H. MacCallum
Computer-aided classification of exact solutions in general
relativity
In General relativity and gravitational physics (9th Italian
Conference), ed. R. Cianci, R. de Ritis, M. Francaviglia, G. Marmo, C.
Rubano, and P. Scudellaro, pages 318-337. World Scientific, Singapore
(1991).
- M.A.H. MacCallum
Computer-aided classification of geometries in general relativity
In Computer Algebra in Physical Research (IV-th International Conference,
Dubna, USSR, 1990): memorial volume for N.N. Govorun, ed. D.V.
Shirkov, V.V. Rostovtsev, and V.P. Gerdt, pages 278-287. World Scientific,
Singapore (1991).
- M.A.H. MacCallum and F.J. Wright
Algebraic computing with REDUCE
In Proceedings of the first Brazilian school on computer algebra, ed.
M.J. Rebouças and W.L. Roque, pages 1-294. Oxford University Press,
Oxford (1991).
- G.C. Joly, M.A.H. MacCallum, and S.T.C. Siklos
On the Bampi-Cianci `generalized axisymmetric solutions'
Class. Quant. Grav. 9, 795-798 (1992).
- M.A.H. MacCallum
Computer algebra in gravity - past, present and future
In General Relativity and Relativistic Astrophysics (Proceedings of the 4th
Canadian conference), ed. G. Kunstatter, D. Vincent, and J.G. Williams,
pages 315-331. World Scientific, Singapore (1992).
- M.A.H. MacCallum
Gravity is less attractive
Gen. Rel. Grav. 24(April), 461-462 (1992)
April Fool piece.
- M.A.H. MacCallum and S.T.C. Siklos
Algebraically-special hypersurface-homogeneous Einstein spaces in general
relativity
J. Geom. Phys. 8, 221-242 (1992).
- J.B. Fonseca-Neto, M.J. Rebouças, and M.A.H. MacCallum
Algebraic computing in torsion theories of gravitation
In Proceedings of IMACS Symposium SC-93 on Symbolic Computation: new trends
and developments, ed. G. Jacob, N.E. Oussous, and S. Steinberg, pages
103-109. IMACS, Lille (1993).
- M.A.H. MacCallum
Anisotropic and inhomogeneous cosmologies
In The Renaissance of General Relativity and Cosmology (A survey to
celebrate the 65th birthday of Dennis Sciama), ed. G. Ellis, A. Lanza,
and J.C. Miller, pages 213-233. Cambridge University Press, Cambridge
(1993)
Available on line .
- M.A.H. MacCallum
Inhomogeneous and anisotropic cosmologies
In The origin of structure in the universe, ed. E. Gunzig and P.
Nardone, volume 393 of NATO ASI Series C pages 131-159. Kluwer,
Dordrecht (1993)
Available on line .
- M.A.H. MacCallum
ODESOLVE and PSODE
In ESPRIT Working Group CATHODE first technical report: Proceedings of the
Han Workshop, ed. J. Sengier, pages 1-11. Universite Libre, Bruxelles
(1993)
Available on line .
- M.A.H. MacCallum
Report of the non-linear equations group discussion
In ESPRIT Working Group CATHODE first technical report: Proceedings of the
Han Workshop, ed. J. Sengier, pages 1-11. Universite Libre, Bruxelles
(1993)
Available on line .
- F.M. Paiva, M.J. Rebouças, and M.A.H. MacCallum
On limits of spacetimes -- a coordinate-free approach
Class. Quant. Grav. 10, 1165-1178 (1993)
Available on line .
- W.B. Bonnor, J.B. Griffiths, and M.A.H. MacCallum
Physical interpretation of vacuum solutions of Einstein's equations.
Part II. Time-dependent solutions
Gen. Rel. Grav. 26, 687-729 (1994).
- M.A.H. MacCallum
Relativistic cosmologies
In Deterministic chaos in general relativity, ed. D.W. Hobill, A. Burd,
and A. Coley, volume 332 of Nato ASI Series B pages 179-201. Plenum
Press, New York (1994).
- M.A.H. MacCallum and J.E.F. Skea
SHEEP: a computer algebra system for general relativity
In Algebraic computing in general relativity (Proceedings of the first
Brazilian school on computer algebra, vol 2), ed. M.J. Rebouças and
W.L. Roque, pages 1-172 and index pp. 361-9. Oxford University Press, Oxford
(1994).
- P.T. Chrusciel, M.A.H. MacCallum, and D.B. Singleton
Gravitational waves in general relativity: XIV. Bondi expansions and
the ``polyhomogeneity'' of Scri
Phil. Trans. Roy. Soc. A 350, 113-141 (1995)
Available on line .
- M.A.H. MacCallum
Exact inhomogeneous models and their significance for cosmology
In Inhomogeneous cosmological models (Proceedings of the Spanish Relativity
Meeting, ERE 94, Mao, Menorca), ed. A. Molina and J.M.M. Senovilla,
pages 3-26. World Scientific, Singapore (1995).
- M.A.H. MacCallum
Goals of Cathode, overview of problems, research and results
In Cathode Workshop Nijmegen, ed. A.H.M. Levelt, pages 9-14. University
of Nijmegen, Department of Mathematics (1995)
Available on line .
- M.A.H. MacCallum
Using computer algebra to solve ordinary differential equations
In Computer algebra in industry 2: Problem solving in practice, ed. A.M.
Cohen, L.J. van Gastel, and S.M. Verduyn Lunel, pages 19-41. John Wiley and
Sons, Chichester (1995).
- J.B. Fonseca-Neto, M.J. Rebouças, and M.A.H. MacCallum
Algebraic computing in torsion theories of gravitation
Mathematics and computers in simulation 42(4-6), 739-748 (1996).
- M.A.H. MacCallum
Computer algebra and applications in relativity and gravity
In Recent Developments in Gravitation and Mathematical Physics: Proceedings
of the First Mexican School on Gravitation and Mathematical Physics, ed.
A. Macias, T. Matos, O. Obregon, and H. Quevedo, pages 3-41. World
Scientific, Singapore (1996).
- M.A.H. MacCallum
Computer algebra and differential equations
Mathematics and Computers in Simulation 42, 385-386 (1996)
Editorial introduction.
- N. Dadhich and M.A.H. MacCallum
Report on the Workshop on Classical General Relativity
In Gravitation and cosmology (Proceedings of ICGC-95), ed. S. Dhurandhar
and T. Padmanabhan, pages 279-296. Kluwer Academic, Dordrecht (1997).
- G. Lemaître
L'univers en expansion
Ann. Soc. Sci. Bruxelles A 53, 51 (1933)
Translation by M.A.H. MacCallum in Gen. Rel. Grav., 29, 641-680 (1997).
- M.A.H. MacCallum
Closing summary
In Gravitation and cosmology (Proceedings of ICGC-95), ed. S. Dhurandhar
and T. Padmanabhan, pages 199-303. Kluwer Academic, Dordrecht (1997).
- M.A.H. MacCallum
Solving differential equations by computer algebra
In Differential and Difference Equations and computer algebra: in honour of
A.H.M. Levelt, ed. E. Hubbers, pages 23-31. University of
Nijmegen, Nijmegen (1997)
Available on line .
- M.A.H. MacCallum
Theoretical and mathematical cosmology
In General Relativity and Gravitation: Proceedings of the 14th International
Conference, ed. M. Francaviglia, G. Longhi, L. Lusanna, and E. Sorace,
pages 503-509. World Scientific, Singapore (1997).
- Y.K. Man and M.A.H. MacCallum
A rational approach to the Prelle-Singer algorithm
J. Symb. Comp. 24, 31-43 (1997).
- W.B. Bonnor, N.O. Santos, and M.A.H. MacCallum
An exterior for the Gödel spacetime
Class. Quant. Grav. 15, 357-366 (1998)
Available on line .
- P.T. Chrusciel, J. Jezierski, and M.A.H. Maccallum
Uniqueness of the Trautman-Bondi mass: art. no. 084001
Phys. Rev. D 5808, 4001 (16 pages) (1998)
Available on line .
- P.T. Chru\'sciel, J. Jezierski, and M.A.H. MacCallum
Uniqueness of scalar field energy and gravitational energy in the radiating
regime
Phys. Rev. Lett. 80, 5052--5055 (1998)
Was: Uniqueness of the mass in the radiating regime
Available on line .
- M.A.H. MacCallum
Hypersurface-orthogonal generators of an orthogonally transitive $G_2I$,
topological identifications, and axially and cylindrically symmetric
spacetimes
Gen. Rel. Grav. 30, 131-150 (1998)
Available on line .
- M.A.H. MacCallum
Integrability in tetrad formalisms and conservation in cosmology
In Current Topics in Mathematical Cosmology (Proceedings of the
International Seminar), ed. M. Rainer and H.-J. Schmidt, pages 133-142.
World Scientific, Singapore (1998)
gr-qc/9806003
Available on line .
- M.A.H. MacCallum and N.O. Santos
Stationary and static cylindrically symmetric Einstein spaces of the
Lewis form
Class. Quant. Grav. 15, 1627-1636 (1998)
Available on line .
- F.M. Paiva, M.J. Rebouças, G.S. Hall, and M.A.H. MacCallum
Limits of the energy-momentum tensor in general relativity
Class. Quant. Grav. 15, 1031-1041 (1998)
Available on line .
- J.E. Åman, J.B. Fonseca-Neto, M.A.H. MacCallum, and M.J.
Rebouças
Riemann-Cartan Space-times of Gödel Type
Class. Quant. Grav. 15, 1089-1101 (1998)
Available on line .
- M.A.H. MacCallum
On the enumeration of the real four-dimensional Lie algebras
In On Einstein's Path: essays in honor of Engelbert Schucking, ed. A.L.
Harvey, pages 299-317. Springer Verlag, New York (1999)
First version circulated as a preprint in 1979.
Available on line .
- L. Bel
Les états de radiation et le problème de l'energie en relativité
générale
Cah. Phys. 16, 59-80 (1962)
Translation "Radiation states and the problem of energy in general relativity"
by M.A.H. MacCallum, Gen. Rel. Grav. 32, 2047-2078 (2000)
Available on line .
- M.A.H. MacCallum
Discrete symmetries of spacetime
Ann. Phys. (Leipzig) 9, SI 125-128 (2000)
This is a special number containing the proceedings of the 1999 Journees
Relativistes
Available on line .
- M.A.H. MacCallum
Symbolic and algebraic computation
In Encyclopaedia of Computer Science and Technology, ed. A. Kent and
J.G. Williams, volume 42, Supplement 27 pages 371-390. Marcel Dekker, New
York (2000)
Available on line .
- M.A.H. MacCallum
Workshop 1: Dynamics of the Einstein field equations
Gen. Rel. Grav. 32, 999-1004 (2000)
Special number of Gen. Rel. Grav. containing the proceedings of the 1999 South
African Relativity Society honouring the 60th birthday of G.F.R. Ellis,
edited by M.A.H. MacCallum, P.K.S. Dunsby and R.A. Maartens
(editorial introduction pp. 975-998)
Available on line .
- A.Z. Petrov
The classification of spaces defining gravitational fields
Scientific Proceedings of Kazan State University (named after V.I.
Ulyanov-Lenin), Jubilee (1804-1954) Collection 114(8), 55-69
(1954)
Translation by J. Jezierski and M.A.H. MacCallum, with introduction by
M.A.H. MacCallum, Gen. Rel. Grav. 32, 1661-1685 (2000)
Available on line .
- K. Rajesh Nayak, M.A.H. MacCallum, and C.V. Vishveshwara
Black holes in non-flat backgrounds: the Schwarzschild black hole in
the Einstein Universe
Phys. Rev. D 63, 024020 (5 pages) (2001)
Available on line .
- I.D. Novikov
R- and T-regions in space-time with spherically symmetric space
Soobscenija GAIS [Communications of the Sternberg State Astronomical Institute]
132(3), 3-42 (1964)
Translation by S.B. Beisekeev and M.A.H. MacCallum in Gen. Rel. Grav. 33,
2259-2295 (2001)
Available on line .
- M.A.H. MacCallum
Computer algebra in general relativity
Int. J. Mod. Phys. A 17, 2707-2710 (2002)
Special issue: Proceedings of the conference on general relativity, cosmology
and relativistic astrophysics (Journées Relativistes), ed.\ C. Barrabès
and P.A. Hogan
Available on line .
- F.C. Mena and M.A.H. MacCallum
Locally discretely isotropic space-times
In Proceedings of the Ninth Marcel Grossmann Meeting on General
Relativity, ed. V.G. Gurzadyan, R.T. Jantzen, and R. Ruffini, page 1976.
World Scientific, Singapore (2002)
Available on line .
- M.A.H. MacCallum
Rewriting the exact solutions book (and how we handled the cosmological
solutions)
In online proceedings of ``Mathematics of Gravitation II'', Warsaw (2003)
Available on
line .
- M.A.H. MacCallum and J. Valiente Kroon
Polyhomogeneous asymptotics in spacetimes
In Talk given in the "Hyperbolic models in astrophysics and cosmology"
meeting at the Isaac Newton Institute, June 2003, . Isaac Newton
Institute, Cambridge (2003)
Available on line .
- H. Stephani, D. Kramer, M.A.H. MacCallum, C.A. Hoenselaers, and E.
Herlt
Exact solutions of Einstein's field equations, 2nd edition
Cambridge University Press, Cambridge (2003)
Corrected Paperback edition, 2009.
- M.A.H. MacCallum
Editorial introduction to ``Empty space-times admitting a three parameter
group of motions'' by A.H. Taub
Gen. Rel. Grav. 36, 2689-95 (2004)
Available on line .
- M.A.H. MacCallum
Concluding remarks
Gen. Rel. Grav. 38, 1129-1134 (2006)
Speech at my 60th birthday conference.
- M.A.H. MacCallum
Finding and using exact solutions of the Einstein equations
In A Century of Relativity Physics (ERE05, the XXVIII Spanish Relativity
Meeting), ed. L. Mornas and J.D. Alonso, pages 129-143. American
Institute of Physics, Melville, New York (2006)
Available on line .
- M.A.H. MacCallum
On singularities, horizons, invariants, and the results of Antoci,
Liebscher and Mihich (GRG 38, 15 (2006) and earlier).
Gen. Rel. Grav. 38, 1887-1899 (2006)
Available on line .
- M.J. Pareja and M.A.H. MacCallum
Local freedom in the gravitational field revisited
Class. Quant. Grav. 23, 5039-5048 (2006)
Available on line .
- A. Di Prisco, L. Herrera, G. Le Denmat, M.A.H. MacCallum, and N.O.
Santos
Nonadiabatic charged spherical gravitational collapse
Phys. Rev. D. 76, 064017 (9 pages) (2007)
DOI 10.1103/PhysRevD.76.064017
Available on line .
- G.F.R. Ellis, R. Maartens, and M.A.H. MacCallum
Causality and the speed of sound
Gen. Rel. Grav. 39, 1651-1660 (2007)
10.1007/s10714-007-0479-2
Available on line .
- L. Herrera, M.A.H. MacCallum, and N.O. Santos
Corrigendum: Cylindrical collapse and gravitational waves
Class. Quant. Grav. 24, 1033 (2007)
Available on line .
- M.A.H. MacCallum, M. Mars, and R. Vera
Stationary axisymmetric exteriors for perturbations of isolated bodies in
general relativity, to second order
Phys. Rev. D 75(2), 024017 (19 pp.) (2007)
Available on line .
- M.A.H. MacCallum, M. Mars, and R. Vera
Second order perturbations of rotating bodies in equilibrium; the exterior
vacuum problem
In Beyond General Relativity, Proceedings of the 2004 Spanish Relativity
Meeting 2004 (ERE 2004), ed. Natxo Alonso-Alberca, Enrique Álvarez,
Tomás Ortín, and Miguel Ángel Vázquez-Mozo, volume 119 of
Colección de Estudios pages 167-172. Ediciones de la Universidad
Autónoma de Madrid, Madrid (2007)
ISBN: 978-84-8344-059-9
Available on line .
- M.A.H. MacCallum and A.V. Mikhailov
Algebraic Theory of Differential Equations
LMS Lecture Notes series, Cambridge University Press, Cambridge (2009).
- A. Coley, S. Hervik, W.C. Lim, and M.A.H. MacCallum
Properties of kinematic singularities
Class. Quant. Grav. 26, 215008 (2009)
Available on line .
- A. Di Prisco, L. Herrera, M.A.H. MacCallum, and N.O. Santos
Shearfree cylindrical gravitational collapse
Phys. Rev. D 80, 064031 (2009)
DOI: 10.1103/PhysRevD.80.064031
Available on line .
- J. Gariel, M.A.H. MacCallum, G. Marcilhacy, and N.O. Santos
Kerr Geodesics, the Penrose Process and Jet Collimation by a Black
Hole
Astron. Astrophys. 515, A15-19 (2010)
Available on line .
- M.A.H. MacCallum
Editorial note to: T. Levi-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
Gen. Rel. Grav. 43, 2297-2306 (2011).
- G.F.R. Ellis, R. Maartens, and M.A.H. MacCallum
Relativistic cosmology
Cambridge University Press, Cambridge (2011)
In press.