Invariant conserved currents in gravity theories: diffeomorphisms and local gauge symmetries
arXiv:0712.3547 · doi:10.1103/PhysRevD.76.124030
Abstract
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.
28 pages, Revtex
References in corpus (23)
- Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
- Metric-Affine Gauge Theory of Gravity: Field Equations, Noether Identities, World Spinors, and Breaking of Dilation Invariance
- Conserved charges for gravity with locally AdS asymptotics
- Currents and Superpotentials in classical gauge invariant theories I. Local results with applications to Perfect Fluids and General Relativity
- Conserved Charges for Even Dimensional Asymptotically AdS Gravity Theories
- Metric-affine gauge theory of gravity II. Exact solutions
- Metric-Affine Gauge Theory of Gravity I. Fundamental Structure and Field Equations
- Covariance properties and regularization of conserved currents in tetrad gravity
- Black Holes with Weyl Charge and Non-Riemannian Waves
- Currents and Superpotentials in classical gauge theories: II. Global aspects and the example of Affine gravity
- An exact solution of the metric-affine gauge theory with dilation, shear, and spin charges
- Invariant conserved currents in gravity theories with local Lorentz and diffeomorphism symmetry
- Non-Riemannian Gravity and the Einstein-Proca System
- Test Matter in a Spacetime with Nonmetricity
- An axially symmetric solution of metric-affine gravity
- Conserved currents in gravitational models with quasi-invariant Lagrangians: Application to teleparallel gravity
- Remarks on Conserved Quantities and Entropy of BTZ Black Hole Solutions. Part I: the General Setting
- Dark Matter Gravitational Interactions
- Conserved Quantities from the Equations of Motion (with applications to natural and gauge natural theories of gravitation)
- Gravitational energy in stationary spacetimes
- Plebański-Demiański-like solutions in metric-affine gravity
- Stress-Energy-Momentum of Affine-Metric Gravity. Generalized Komar Superportential
- Improved Energy-Momentum Currents in Metric-Affine Spacetime
Cited by in corpus (11)
- Conservation laws in gravity: A unified framework
- Luminal Propagation of Gravitational Waves in Scalar-tensor Theories: The Case for Torsion
- Multipolar test body equations of motion in generalized gravity theories
- Invariant conserved currents in generalized gravity
- Is there any symmetry left in gravity theories with explicit Lorentz violation?
- Covariant Differential Identities and Conservation Laws in Metric-Torsion Theories of Gravitation. I. General Consideration
- Noether's theorems and conserved currents in gauge theories in the presence of fixed fields
- Quasi-local conserved charges in Lorentz-diffeomorphism covariant theory of gravity
- Einstein Equations from Riemann-only Gravitational Actions
- Off-Shell ADT Conserved Quantities in Palatini Gravity
- Generalized Sparling-Thirring form in the Brans-Dicke theory