Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2002-04-09
Phys.Rev. D65 (2002) 124001
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
33 pages, Latex file, 1 figure, to appear in the Phys. Rev. D
Scientific paper
10.1103/PhysRevD.65.124001
The Hamiltonian formulation of the teleparallel equivalent of general relativity is considered. Definitions of energy, momentum and angular momentum of the gravitational field arise from the integral form of the constraint equations of the theory. In particular, the gravitational energy-momentum is given by the integral of scalar densities over a three-dimensional spacelike hypersurface. The definition for the gravitational energy is investigated in the context of the Kerr black hole. In the evaluation of the energy contained within the external event horizon of the Kerr black hole we obtain a value strikingly close to the irreducible mass of the latter. The gravitational angular momentum is evaluated for the gravitational field of a thin, slowly rotating mass shell.
Castello-Branco K. H.
da Rocha-Neto J. F.
Maluf Jos W.
Toribio T. M. L.
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