Angular Momentum of the BTZ Black Hole in the Teleparallel Geometry
General Relativity and Quantum Cosmology
2009-11-11 v2
Abstract
We carry out the Hamiltonian formulation of the three- dimensional gravitational teleparallelism without imposing the time gauge condition, by rigorously performing the Legendre transform. Definition of the gravitational angular momentum arises by suitably interpreting the integral form of the constraint equation Gama^ik=0 as an angular momentum equation. The gravitational angular momentum is evaluated for the gravitational field of a rotating BTZ black hole.
Keywords
Cite
@article{arxiv.gr-qc/0504074,
title = {Angular Momentum of the BTZ Black Hole in the Teleparallel Geometry},
author = {A. A. Sousa and R. B. Pereira and J. F. da Rocha-Neto},
journal= {arXiv preprint arXiv:gr-qc/0504074},
year = {2009}
}
Comments
17 pages, no figures, v2: some misprints corrected, Ref.s added, Eq.s revised, submitted to General Relativity and Gravitation