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Nonlinear stability of Kerr--de Sitter black holes
时间  Datetime
2019-07-29 14:00 — 15:00 
地点  Venue
Middle Lecture Room(703)
报告人  Speaker
Peter Hintz
单位  Affiliation
MIT
邀请人  Host
Fang Wang
报告摘要  Abstract

 I will explain some ideas behind the proof of the global stability of the Kerr--de Sitter family of black holes as solutions of the initial value problem for the Einstein vacuum equations when the cosmological constant is positive. I will explain the general framework which enables us to deal systematically with the diffeomorphism invariance of Einstein's equations, and thus how our solution scheme finds a suitable gauge, within a carefully chosen finite-dimensional family of gauges, in which we can find the global solution. I will also address the issue of finding the mass and the angular momentum of the final black hole. This talk is based on joint work with András Vasy (Stanford University).