Tightening the Penrose Inequality
General Relativity and Quantum Cosmology
2022-10-21 v2 High Energy Physics - Theory
Abstract
The Penrose inequality estimates the lower bound of the mass of a black hole in terms of the area of its horizon. This bound is relatively loose for extremal or near extremal black holes. We propose a new Penrose-like inequality for static black holes involving the mass, area of the black hole event horizon and temperature. Our inequality includes the Penrose inequality as its corollary, and it is saturated by both the Schwarzschild and Reissner-Nordstr\"om black holes. In the spherically-symmetric case, we prove this new inequality by assuming both the null and trace energy conditions.
Cite
@article{arxiv.2207.08833,
title = {Tightening the Penrose Inequality},
author = {H. Khodabakhshi and H. Lu and Run-Qiu Yang},
journal= {arXiv preprint arXiv:2207.08833},
year = {2022}
}
Comments
latex, 20 pages, typos corrected, references added and comments on the upper and lower bounds on black hole entropy added. To appear in SCPMA