Uniqueness and energy bounds for static AdS metrics

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...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:arXiv.org 2019-09
Hauptverfasser: Chruściel, Piotr T, Galloway, Gregory J, Potaux, Yohan
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic properties
Free energy
Mathematics - Differential Geometry
Physics - General Relativity and Quantum Cosmology
Physics - High Energy Physics - Theory
Uniqueness
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1910.00070