Abstract
In this lecture, the speaker 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.
He will discuss the geometry of these black holes as well as that of the underlying de Sitter space, 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 lecture, based on joint work with Peter Hintz, the speaker will discuss geometric aspects of the stability problem, in particular showing that Kerr-de Sitter black holes with small angular momentum are stable in this sense.
About the speaker
Prof András Vasy received his MS in Mathematics in 1993 from Stanford University and PhD in Mathematics from Massachusetts Institute of Technology in 1997. He then joined the University of California at Berkeley as the Morrey Assistant Professor in 1997 and moved to Massachusetts Institute of Technology in 2000. In 2005, he returned to Stanford University and is currently the Professor of Mathematics.
Prof Vasy’s research focuses on microlocal analysis, partial differential equations, wave propagation, N-body scattering, symmetric spaces, analysis and manifolds. Prof Vasy received the Chambers Fellowship from Stanford University in 2008 and he has also been the editor of Analysis & PDE journal since 2007.
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