On the Nonlinear Stability of Asymptotically Anti-de Sitter Solutions
General Relativity and Quantum Cosmology
2015-06-11 v1 High Energy Physics - Theory
Abstract
Despite the recent evidence that anti-de Sitter spacetime is nonlinearly unstable, we argue that many asymptotically anti-de Sitter solutions are nonlinearly stable. This includes geons, boson stars, and black holes. As part of our argument, we calculate the frequencies of long-lived gravitational quasinormal modes of AdS black holes in various dimensions. We also discuss a new class of asymptotically anti-de Sitter solutions describing noncoalescing black hole binaries.
Keywords
Cite
@article{arxiv.1208.5772,
title = {On the Nonlinear Stability of Asymptotically Anti-de Sitter Solutions},
author = {Oscar J. C. Dias and Gary T. Horowitz and Don Marolf and Jorge E. Santos},
journal= {arXiv preprint arXiv:1208.5772},
year = {2015}
}
Comments
26 pages. 5 figures