Black hole entropy and Lorentz-diffeomorphism Noether charge
General Relativity and Quantum Cosmology
2015-12-16 v2 High Energy Physics - Theory
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.
Cite
@article{arxiv.1507.01054,
title = {Black hole entropy and Lorentz-diffeomorphism Noether charge},
author = {Ted Jacobson and Arif Mohd},
journal= {arXiv preprint arXiv:1507.01054},
year = {2015}
}
Comments
8 pages, double-column; This version: references updated; added another example in section III. This version matches the published version