2007/12/20 by Yuri N. Obukhov, Guillermo F. Rubilar
Mathematics · Physics and Astronomy · #Abelian group #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Gauge anomaly #Gauge theory #General relativity #Geometry #Gravitation #Homogeneous space #Introduction to gauge theory #Invariant (physics) #Linearized gravity #Lorentz covariance #Lorentz group #Lorentz transformation #Lorenz gauge condition #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum #Quantum field theory in curved spacetime #Quantum gravity #Quantum mechanics #Spacetime #Spacetime symmetries #Theoretical physics #hep-th
paper · pdf · doi:10.1103/physrevd.76.124030
published as Phys.Rev.D76:124030,2007 · 28 pages, Revtex
arxiv created 2007/12/20 · openalex publication_date 2007/12/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.