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.