Angular Momentum of the BTZ Black Hole in the Teleparallel Geometry

Details Angular Momentum of the BTZ Black Hole in the Teleparallel Geometry Angular Momentum of the BTZ Black Hole in the Teleparallel Geometry

2005-04-18

arxiv.org/abs/gr-qc/0504074v2

Prog.Theor.Phys. 114 (2006) 1179-1190

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages, no figures, v2: some misprints corrected, Ref.s added, Eq.s revised, submitted to General Relativity and Gravitation

Scientific paper

10.1143/PTP.114.1179

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.

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