Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2003-01-21
Prog.Theor.Phys. 108 (2002) 457-470
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
20 pages, Latex file, no figures
Scientific paper
10.1143/PTP.108.457
We apply the Hamiltonian formulation of teleparallel theories of gravity in 2+1 dimensions to a circularly symmetric geometry. We find a family of one-parameter black hole solutions. The BTZ solution fixes the unique free parameter of the theory. The resulting field equations coincide with the teleparallel equivalent of Einstein's three-dimensional equations. We calculate the gravitational energy of the black holes by means of the simple expression that arises in the Hamiltonian formulation and conclude that the resulting value is identical to that calculated by means of the Brown-York method.
Maluf Jos W.
Sousa Alexandre
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