Energy and angular momentum of the gravitational field in the teleparallel geometry
Abstract
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.
Keywords
Cite
@article{arxiv.gr-qc/0204035,
title = {Energy and angular momentum of the gravitational field in the teleparallel geometry},
author = {J. W. Maluf and J. F. da Rocha-Neto and T. M. L. Toribio and K. H. Castello-Branco},
journal= {arXiv preprint arXiv:gr-qc/0204035},
year = {2009}
}
Comments
33 pages, Latex file, 1 figure, to appear in the Phys. Rev. D