Dr. Juan Antonio Valiente Kroon |
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Address
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School of
Mathematical Sciences |
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Office
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Maths G56 |
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Telephone
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+44 (0)20 7882 5493 |
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School Fax : |
+44 (0)20 8981 9587 |
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Email Address: |
j.a.valiente-kroon AT qmul DOT
ac DOT uk |
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I am a Reader
in Applied Mathematics and former EPSRC Advanced Research Fellow
(2005-2010) in the School of
Mathematical Sciences at Queen Mary, University of London working on
Mathematical General Relativity with particular interest on the theory of asymptotics of the Gravitational field (or Asymptopia) and diverse issues concerning the initial value
problem for the Einstein field equations. I was a postdoctoral reseracher at the Max
Planck Institut für Gravitationsphysik (Albert Einstein Institut)
in Golm, Germany and a Lise
Meitner Fellow at the Institut für Theroretische
Physik der Universität Wien.
I
co-organise the Relativity
& Cosmology Seminars (London Relativity Seminars)
at Queen Mary. These take place every
Wednesday (during term time) at 16:30 in room M103 of
the School of Mathematical Sciences.
Research | Recent Publications | Teaching | Postgraduate Students | Other Activities | Personal
News!
PhD
funding opportunity under the project:
Non-linear perturbations of
cosmological models and black hole spacetimes
See
here for more information.
Research
· CV: you can download a pdf version
of it here.
· Mathematical General
Relativity, including asymptotics of the
gravitational field, global properties of spacetime, conformal
methods, nonlinear stability of
solutions to the Einstein field equations, invariant characterisations of spacetimes and their initial data sets, numerical
construction of initial data sets and global numerical evaluations of black
hole spacetimes. You can see a more detailed
description of my research interests here,
or download a pdf
version.
· Here is a link to the Web
seminar Time
asymmetric spacetimes near null and spatial infinity
held at the Isaac Newton Institute on the 14th November,
2005.
· You can download a couple of
posters describing general aspects of my research:
o
Isolated systems in
General Relativity.
o
Does asymptotic simplicity allow for radiation near spatial infinity.
Current members of
the Mathematical Relativity group at QM
·
Dr. Daniela Pugliese. We are
working in the mathematical analysis of the equations of magneto-hydrodynamics
and charged scalar fields coupled to the Einstein equations.
Collaborators
outside Queen Mary
· Alfonso García-Parrado
(University
of Minho, Portugal). We have a long term project on
the characterisation of initial data sets for the Einstein field equations. The
idea behind is to combine techniques from both mathematical Relativity and from
the field of “exact solutions”. We have analysed in detail initial data sets
for the Schwarzschild spacetime, and are currently
doing the same for the more complicated Kerr solution. Alfonso is and expert in
the xAct package for tensorial
manipulations. He has contributed to the suite for spinorial
manipulations.
· José Luis Jaramillo (Institute of Astrophysics of Andalucia). We have a project on the numerical construction
of initial data sets for the Einstein vacuum field equations with interesting
geometrical and physical properties. Our implementation is based, from the
outset, on spectral methods.This
project was inspired by our review “From Geometry to Numerics”
in which we analysed the interaction between mathematical and numerical
Relativity.
· Filipe Mena
and Artur Alho (University of Minho,
Portugal). We have a project on analysis of the decay of non-linear
perturbations in Cosmological models.
· Christian Lübbe (University of Leicester). He
is interested inconformal properties
of the gravitational field, with applications to isotropic singularities.
Recently, we have used certain conformal invariants (conformal geodesics) to
reanalyse the stability results for de Sitter like spacetimes.
We have also used the same techniques to revisit the stability of Minkowski-like hyperboloidal
data. We are currently using the same techniques to discuss the stability of “radiative spacetimes”.
· Thomas Bäckdahl
(Max
Planck Institute for Gravitational Physics/Albert Einstein Institute, Germany).
He is interested in various aspects of the asymptotics
of the gravitational field. He has done work on the convergence of multipole expansions for stationary spacetimes.
He is now interested in “higher asymptot aspects”,
including the construction of quadrupolar moments for
generic spacetimes. We have a common project
concerning the construction of global invariants that single out data for the
Kerr spacetime. See our most recent letter concerning this project.
Publications
· List of publications: download a pdf
version here.
· You can see pdf versions of some talks I have given recently:
o
Initial data sets for the Schwarzschild spacetime, given at the Spanish Relativity Meeting
in Mallorca, September 2006.
o
Towards a proof of a rigidity conjecture for
asymptotically flat spacetimes, given at the
GRG18 in Sydney, July 2007.
o
Killing spinor
initial data, given at the Institute for Theoretical Physics of the
University of Vienna, December 2007.
o
Regularity conditions at spatial infinity
revisited, given at the Niels Bohr Institute
in Copenhagen, Denmark, April 2008.
o
A conjecture on the behaviour of the
development of time symmetric, conformally flat
initial data at spatial infinity, given at the
conference Hyperbolic Equations in General Relativity, University of Bordeaux,
France. June 2008.
o
Characterisation of initial data sets in
General Relativity, given at the Erwin Schroedinger Institute in Vienna, August, 2008.
o
Understanding the structure of spatial infinity: a
rigidity conjecture, given at the Albert Einstein Institute, Germany,
October 2009.
· Here is a link to my preprint
on the Global numerical evaluations of
static spacetimes. This preprint sets a computer algebra based framework for
the numerical solution of the conformal field equations in spherically
symmetric electrovacuum spacetimes.
As the title indicates the purpose of this framework is to produce truly global
numerical simulations that go up to singularity.
Teaching
· In the academic year 2011-2012
I am teaching the following courses:
(MTH6132) Relativity in Semester 1.
(SEF015) Discrete Mathematics in Semester 2.
Administration
·
I am the academic coordinator of the PASS
(Peer Assisted Study Support) for the School of Mathematical Sciences. You
can find a poster here. More information about the PASS programme can be found here.
·
I am the departamental coordinator of the Science and Enginnering
Foundation Programme (SEFP) at the School of Mathematical Sciences.
Supervision of SEFP students at the School of Mathematical Sciences is done
together with Dr. Rosemary
Harris. Specific information concerning the SEFP for students having the
School of Mathematical Sciences as home department can be found here.
Postgraduate
Students
· If you are interested on doing
postgraduate research in General Relativity, please contact me. See also the
PhD studentship advertisement at the top of the page!
Some relativity
friends
· Here is a link to Hans Ringström's
homepage at the Royal Institute of Technology in Stockholm.
· Here is a link to Ruth Lazkoz's
homepage at the University of the Basque Country in Bilbao.
Personal
· Here is a link to our (my wife's and mine)
homepage with wonderful photograps from our
wedding and more...
This
page is maintained by Juan A. Valiente Kroon. The views and opinions expressed in these
pages are mine. The contents of these pages have not been reviewed or approved
by Queen Mary, University of London.