Uniqueness and energy bounds for static AdS metrics

30 Sep 2019 Chruściel Piotr T. Galloway Gregory J. Potaux Yohan

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...

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Categories


  • GENERAL RELATIVITY AND QUANTUM COSMOLOGY
  • HIGH ENERGY PHYSICS - THEORY
  • DIFFERENTIAL GEOMETRY