Conserved currents in the Palatini formulation of general relativity
arXiv:2004.15002 · doi:10.22323/1.376.0171
Abstract
We derive the expressions for the local, on-shell closed co-dimension 2 forms in the Palatini formulation of general relativity and explicitly show their on-shell equivalence to those of the metric formulation. When compared to other first order formulations, two subtleties have to be addressed during the construction: off-shell non-metricity and the fact that the transformation of the connection under infinitesimal diffeomorphisms involves second order derivatives of the associated vector fields.
arXiv comment12 Pages
References in corpus (16)
- 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
- A General Definition of "Conserved Quantities" in General Relativity and Other Theories of Gravity
- Covariant theory of asymptotic symmetries, conservation laws and central charges
- Surface charge algebra in gauge theories and thermodynamic integrability
- Boundary charges in gauge theories: using Stokes theorem in the bulk
- Comments on holographic current algebras and asymptotically flat four dimensional spacetimes at null infinity
- Black hole entropy and Lorentz-diffeomorphism Noether charge
- Currents and Superpotentials in classical gauge theories: II. Global aspects and the example of Affine gravity
- Boundary effects in General Relativity with tetrad variables
- BMS current algebra in the context of the Newman-Penrose formalism
- A gauge-invariant symplectic potential for tetrad general relativity
- Hamiltonian and Noether charges in first order gravity
- Conserved currents in the Cartan formulation of general relativity
- Invariant conserved currents in generalized gravity
- Asymptotic symmetries and geometry on the boundary in the first order formalism
Cited by in corpus (5)
- Covariant canonical formulations of classical field theories
- Near horizon gravitational charges
- Palatini gravity with nonmetricity, torsion, and boundaries in metric and connection variables
- Null boundary gravitational charges from local Lorentz symmetries
- Off-Shell ADT Conserved Quantities in Palatini Gravity