Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2006-10-18
Phys.Rev.D74:104007,2006
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
23 pages, no figures, Revtex, minor corrections
Scientific paper
10.1103/PhysRevD.74.104007
Conservation laws in gravitational theories with diffeomorphism and local Lorentz symmetry are studied. Main attention is paid to the construction of conserved currents and charges associated with an arbitrary vector field that generates a diffeomorphism on the spacetime. We further generalize previous results for the case of gravitational models described by quasi-invariant Lagrangians, that is, Lagrangians that change by a total derivative under the action of the local Lorentz group. The general formalism is then applied to the teleparallel models, for which the energy and the angular momentum of a Kerr black hole are calculated. The subsequent analysis of the results obtained demonstrates the importance of the choice of the frame.
Pereira J. G.
Rubilar Guillermo F.
~Obukhov Yuri N.
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