Black hole mass and angular momentum in topologically massive gravity

2007/06/30 by Adel Bouchareb, Gérard Clément, Gerard Clement · 5 citations
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #gr-qc #hep-th

paper · pdf · doi:10.1088/0264-9381/24/22/018

published as Class.Quant.Grav.24:5581-5594,2007 · 20 pages, references added, version to appear in Classical and Quantum Gravity

arxiv created 2007/09/27 · openalex publication_date 2007/11/06 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

We extend the Abbott–Deser–Tekin approach to the computation of the Killing charge for a solution of topologically massive gravity (TMG) linearized around an arbitrary background. This is then applied to evaluate the mass and angular momentum of black hole solutions of TMG with non-constant curvature asymptotics. The resulting values, together with the appropriate black hole entropy, fit nicely into the first law of black hole thermodynamics.

Citations

• Stability of gravity with a cosmological constant
• Conserved charges of higher D Kerr–AdS spacetimes
• Gravitational Energy in Quadratic Curvature Gravities
• Geometry of the 2+1 Black Hole
• Topologically massive gauge theories

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