Constructing black hole entropy from gravitational collapse
Abstract
Based on a recent proposal for the gravitational entropy of free gravitational fields, we investigate the thermodynamic properties of black hole formation through gravitational collapse in the framework of the semitetrad 1+1+2 covariant formalism. In the simplest case of an Oppenheimer-Snyder-Datt collapse we prove that the change in gravitational entropy outside a collapsing body is related to the variation of the surface area of the body itself, even before the formation of horizons. As a result, we are able to relate the Bekenstein-Hawking entropy of the black hole endstate to the variation of the vacuum gravitational entropy outside the collapsing body.
Cite
@article{arxiv.1604.00405,
title = {Constructing black hole entropy from gravitational collapse},
author = {Giovanni Acquaviva and George F. R. Ellis and Rituparno Goswami and Aymen I. M. Hamid},
journal= {arXiv preprint arXiv:1604.00405},
year = {2016}
}
Comments
6 pages, 1 figure, Conference proceeding for MG14, submitted to MG14 2015, based on arXiv:1411.5708