Black hole entropy and Lorentz-diffeomorphism Noether charge
Abstract
We show that, in the first or second order orthonormal frame formalism, black hole entropy is the horizon Noether charge for a combination of diffeomorphism and local Lorentz symmetry involving the Lie derivative of the frame. The Noether charge for diffeomorphisms alone is unsuitable, since a regular frame cannot be invariant under the flow of the Killing field at the bifurcation surface. We apply this formalism to Lagrangians polynomial in wedge products of the frame field 1-form and curvature 2-form, including general relativity, Lovelock gravity, and "topological" terms in four dimensions.
- Publication:
-
Physical Review D
- Pub Date:
- December 2015
- DOI:
- 10.1103/PhysRevD.92.124010
- arXiv:
- arXiv:1507.01054
- Bibcode:
- 2015PhRvD..92l4010J
- Keywords:
-
- 04.70.Dy;
- 04.20.-q;
- Quantum aspects of black holes evaporation thermodynamics;
- Classical general relativity;
- General Relativity and Quantum Cosmology;
- High Energy Physics - Theory
- E-Print:
- 8 pages, double-column