On the nonlinear stability of asymptotically anti-de Sitter solutions

Despite the recent evidence that anti-de Sitter (AdS) spacetime is nonlinearly unstable, we argue that many asymptotically AdS 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 quasino...

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Bibliographic Details
Published in:Classical and quantum gravity 2012-12, Vol.29 (23), p.235019-24
Main Authors: Dias, Óscar J C, Horowitz, Gary T, Marolf, Don, Santos, Jorge E
Format: Article
Language:English
Subjects:
Asymptotic properties
Bosons
Exact sciences and technology
General relativity and gravitation
Mathematical analysis
Nonlinearity
Physics
Quantum gravity
Stability
Stars
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Summary:Despite the recent evidence that anti-de Sitter (AdS) spacetime is nonlinearly unstable, we argue that many asymptotically AdS 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 AdS solutions describing noncoalescing black hole binaries.
ISSN:0264-9381
1361-6382
DOI:10.1088/0264-9381/29/23/235019