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

Details Invariant conserved currents in gravity theories: diffeomorphisms and local gauge symmetries Invariant conserved currents in gravity theories: diffeomorphisms and local gauge symmetries

2007-12-20

arxiv.org/abs/0712.3547v1

Phys.Rev.D76:124030,2007

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, Revtex

Scientific paper

10.1103/PhysRevD.76.124030

Previously, we have 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.

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