Angular Momentum of the BTZ Black Hole in the Teleparallel Geometry
A. A. Sousa, R. B. Pereira, J. F. da Rocha-Neto
TL;DR
This paper develops a Hamiltonian framework for 3D teleparallel gravity without gauge fixing, defining and calculating the angular momentum of a rotating BTZ black hole.
Contribution
It introduces a Hamiltonian formulation of 3D teleparallel gravity without the time gauge, and defines gravitational angular momentum via constraint equations.
Findings
Angular momentum of BTZ black hole computed.
Hamiltonian formulation without time gauge established.
Constraint equations interpreted as angular momentum.
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.
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