Notes on sums over horizons
General Relativity and Quantum Cosmology
2024-07-19 v1 High Energy Physics - Theory
Abstract
For a large class of black holes, we show that the sum of thermodynamic quantities over all the horizons is determined by the asymptotic data at infinity. For the Kerr-Newman metric, this proves a recent numerical observation by Hristov. We propose a new method to compute the sum of the entropies using a generalized Smarr formula. The higher-curvature corrections in Gauss-Bonnet gravity are discussed.
Keywords
Cite
@article{arxiv.2407.13079,
title = {Notes on sums over horizons},
author = {Peng Zhao and H. Lu},
journal= {arXiv preprint arXiv:2407.13079},
year = {2024}
}