arxiv: 1208.5772 · v1 · pith:5XTQSPUZnew · submitted 2012-08-28 · 🌀 gr-qc · hep-th

On the Nonlinear Stability of Asymptotically Anti-de Sitter Solutions

Oscar J. C. Dias , Gary T. Horowitz , Don Marolf , Jorge E. Santos This is my paper

classification 🌀 gr-qc hep-th

keywords anti-desitterasymptoticallyblacksolutionsholesnonlinearlyargue

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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.

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