Black hole mass formula in the membrane paradigm
General Relativity and Quantum Cosmology
2018-03-28 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
The membrane paradigm approach adopts a timelike surface, stretched out off the null event horizon, to study several important black hole properties. We use this powerful tool to give a direct derivation of the black hole mass formula in the static and stationary cases without and with electric field. Since here the membrane is a self-gravitating material system we go beyond the usual applicability on test particles and test fields of the paradigm.
Keywords
Cite
@article{arxiv.1712.03236,
title = {Black hole mass formula in the membrane paradigm},
author = {José P. S. Lemos and Oleg B. Zaslavskii},
journal= {arXiv preprint arXiv:1712.03236},
year = {2018}
}
Comments
27 pages, no figures. The revised version emphasizes the novelty of the result within the membrane paradigm. Other minor corrections