Black hole mass and angular momentum in 2+1 gravity
General Relativity and Quantum Cosmology
2009-11-10 v3 High Energy Physics - Theory
Abstract
We propose a new definition for the mass and angular momentum of neutral or electrically charged black holes in 2+1 gravity with two Killing vectors. These finite conserved quantities, associated with the SL(2,R) invariance of the reduced mechanical system, are shown to be identical to the quasilocal conserved quantities for an improved gravitational action corresponding to mixed boundary conditions. They obey a general Smarr-like formula and, in all cases investigated, are consistent with the first law of black hole thermodynamics. Our framework is applied to the computation of the mass and angular momentum of black hole solutions to several field-theoretical models.
Cite
@article{arxiv.gr-qc/0301129,
title = {Black hole mass and angular momentum in 2+1 gravity},
author = {Gerard Clement},
journal= {arXiv preprint arXiv:gr-qc/0301129},
year = {2009}
}
Comments
23 pages, 3 references added, to be published in Physical Review D