The stability of Kerr-de Sitter black holes | Vidéo | Carmin.tv

00:00:00 / 00:00:00

The stability of Kerr-de Sitter black holes

Appears in collection : Resonances: geometric scattering and dynamics / Résonances : scattering géométrique et dynamique

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. 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.

Information about the video

Date of recording 14/03/2017
Date of publication 23/03/2017
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19142603
Cite this video Hintz, Peter (14/03/2017). The stability of Kerr-de Sitter black holes. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19142603
URL https://dx.doi.org/10.24350/CIRM.V.19142603

Domain(s)

Bibliography

Hintz, P., & Vasy, A. (2016). The global non-linear stability of the Kerr-de Sitter family of black holes. <arXiv:1606.04014> - https://arxiv.org/abs/1606.04014

MSC codes

Last related questions on MathOverflow

You have to connect your Carmin.tv account with mathoverflow to add question

Ask a question on MathOverflow

Copyright Carmin.tv 2024

Give feedback