Uniqueness and energy bounds for static AdS metrics

Piotr T. Chruściel, Gregory J. Galloway, Yohan Potaux

Research output: Contribution to journalArticle


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 static asymptotically AdS black holes with toroidal or higher-genus horizons.

Original languageEnglish (US)
Article number064034
JournalPhysical Review D
Issue number6
StatePublished - Mar 15 2020
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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