Uniqueness and energy bounds for static AdS metrics
We show that Wang's proof of uniqueness of Anti-de Sitter spacetime can be adapted to provide uniqueness results for strictly static asymptotically locally hyperbolic vacuum metrics with toroidal infinity, and to prove negativity of the free energy \(E-TS\) of asymptotically AdS black holes wit...
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| creator | Chruściel, Piotr T Galloway, Gregory J Potaux, Yohan |
| description | We show that Wang's proof of uniqueness of Anti-de Sitter spacetime can be adapted to provide uniqueness results for strictly static asymptotically locally hyperbolic vacuum metrics with toroidal infinity, and to prove negativity of the free energy \(E-TS\) of asymptotically AdS black holes with higher-genus horizons. |
| doi_str_mv | 10.48550/arxiv.1910.00070 |
| format | Article |
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| subjects | Asymptotic properties Free energy Mathematics - Differential Geometry Physics - General Relativity and Quantum Cosmology Physics - High Energy Physics - Theory Uniqueness |
| title | Uniqueness and energy bounds for static AdS metrics |
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