Invariant conserved currents in gravity theories: Diffeomorphisms and local gauge symmetries

Journal Article · Sat Dec 15 04:00:00 EST 2007 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.76.124030· OSTI ID:21024055

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

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1. Institute for Theoretical Physics, University of Cologne, 50923 Cologne (Germany)

Previously, we developed a general method to construct invariant conserved currents and charges in gravitational theories with Lagrangians that are invariant under spacetime diffeomorphisms and local Lorentz transformations. This approach is now generalized to the case when the local Lorentz group is replaced by an arbitrary local gauge group. The particular examples include the Maxwell and Yang-Mills fields coupled to gravity with Abelian and non-Abelian local internal symmetries and the metric-affine gravity in which the local Lorentz spacetime group is extended to the local general linear group.

• OSTI ID: 21024055
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 12 Vol. 76; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRAIC CURRENTS
COSMOLOGY
GAUGE INVARIANCE
GRAVITATION
LAGRANGIAN FUNCTION
LORENTZ GROUPS
LORENTZ TRANSFORMATIONS
METRICS
QUANTUM FIELD THEORY
SPACE-TIME
SYMMETRY
YANG-MILLS THEORY