Black hole entropy and Lorentz-diffeomorphism Noether charge
read the original 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.
This paper has not been read by Pith yet.
Forward citations
Cited by 2 Pith papers
-
Non-closed scalar charge in four-dimensional Einstein-scalar-Gauss-Bonnet black hole thermodynamics
A covariant framework reveals non-closed scalar charges with bulk contributions in ESGB black holes that become closed under shift symmetry and interpret spontaneous scalarization via the Smarr formula.
-
Using Gauge Covariant Lie Derivatives in Poincar\'{e} Gauge and Metric Teleparallel Theories of Gravity
A gauge covariant Lie derivative procedure determines co-frame and spin connection ansatzes for symmetric Riemann-Cartan geometries and solves the zero curvature constraint for corresponding metric teleparallel cases,...
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.