Multi angle The stability of Kerr-de Sitter black holes
Auteurs : Hintz, Peter (Auteur de la Conférence)
CIRM (Editeur )
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Résumé : In this lecture I will discuss Kerr-de Sitter black holes, which are rotating black holes in a universe with a positive cosmological constant, i.e. they are explicit solutions (in 3+1 dimensions) of Einstein's equations of general relativity. They are parameterized by their mass and angular momentum.Codes MSC :
I will discuss the geometry of these black holes, and then talk about the stability question for these black holes in the initial value formulation. Namely, appropriately interpreted, Einstein's equations can be thought of as quasilinear wave equations, and then the question is if perturbations of the initial data produce solutions which are close to, and indeed asymptotic to, a Kerr-de Sitter black hole, typically with a different mass and angular momentum. In this talk, I will emphasize geometric aspects of the stability problem, in particular showing that Kerr-de Sitter black holes with small angular momentum are stable in this sense.
35B40 - Asymptotic behavior of solutions of PDE
83C05 - Einstein's equations (general structure, canonical formalism, Cauchy problems)
83C35 - Gravitational waves
83C57 - Black holes
58J47 - Propagation of singularities; initial value problems