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arXiv · 1208.5772

On the Nonlinear Stability of Asymptotically Anti-de Sitter Solutions

Oscar J. C. Dias·Gary T. Horowitz·Don Marolf·Jorge E. Santos
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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.

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Oscar J. C. Dias, Gary T. Horowitz, Don Marolf, Jorge E. Santos. 2012-08-28. On the Nonlinear Stability of Asymptotically Anti-de Sitter Solutions. https://doi.org/10.1088/0264-9381%2F29%2F23%2F235019

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