Spacetime Thermodynamics with Contorsion
arXiv:1807.02041 · doi:10.1103/PhysRevD.98.064053
Abstract
We prove that a conserved effective energy-momentum tensor for Einstein-Cartan theory can be identified from the Noether identities of the matter Lagrangian, using the torsion field equations relating them. More precisely, a one-parameter family labelled by the Immirzi parameter. We use this result and the contorsion description to show that Jacobson's thermodynamical derivation of the Einstein equations follows as in the metric theory, namely from the equilibrium Clausius relation and the fact that a Killing horizon is metric-geodetic. Our derivation works for an arbitrary torsion field. In the course of our discussion we review the laws of black hole mechanics and their dependence on torsion.
arXiv comment21 pages, 2 figures
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Cited by in corpus (7)
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- Symmetries and conserved quantities with arbitrary torsion: A generalization of Killing's theorem
- Black Holes as a Gateway to the Quantum: Classical and Semi-Classical Explorations
- Jacobson's thermodynamic approach to classical gravity applied to non-Riemannian geometries: remarks on the simplicity of Nature