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Seminar on
Mathematical General Relativity
Organizers:
Philippe G. LeFloch (Univ. Pierre et Marie Curie)
Ghani Zeghib (Ecole Normale Supérieure, Lyon)
With the financial support of the ANR Project
“Mathematical General Relativity. Analysis and geometry of spacetimes with low regularity”
Thursday September 29, 2011
Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie, Paris
Lecture room 15-25 1-01 (first floor)
14h Robert Beig (Vienna) Elastic perturbations of static perfect fluid bodies: Newtonian theory
Abstract. We describe a model for static self-gravitating bodies with both fluid and elastic properties. This should allow for a rigorous existence theory of solutions near a perfect fluid configuration, e.g. ‘putting mountains on a neutron star’.
15h30 Jacques Smulevici (Orsay) Wave equations on asymptotically AdS black hole
Abstract. This is joint work with Gustav Holzelgel. We prove a logarithmic decay estimate for solutions of the linear wave equation on a slowly rotating Kerr-Anti-de-Sitter spacetime. This estimate is expected to be sharp in view of heuristics and numerics from the physics litterature. The underlying reason for the slow decay rate established here can be traced back to a stable trapping phenomenon for asymptotically anti de Sitter black holes near infinity.