Conserved currents in gravitational models with quasi-invariant Lagrangians: Application to teleparallel gravity

Journal Article · Wed Nov 15 04:00:00 EST 2006 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.74.104007· OSTI ID:20864115

Obukhov, Yuri N; Rubilar, Guillermo F; Pereira, J G ^[1]

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1. Instituto de Fisica Teorica, Universidade Estadual Paulista, Rua Pamplona 145, 01405-900 Sao Paulo, Brazil and Department of Theoretical Physics, Moscow State University, 117234 Moscow (Russian Federation)

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.

• OSTI ID: 20864115
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 10 Vol. 74; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRAIC CURRENTS
ANGULAR MOMENTUM
BLACK HOLES
CONSERVATION LAWS
COSMOLOGY
GRAVITATION
LAGRANGIAN FIELD THEORY
LAGRANGIAN FUNCTION
LORENTZ GROUPS
SPACE-TIME
SYMMETRY
VECTOR FIELDS