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 OppenheimerSnyderDatt 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 BekensteinHawking entropy of the black hole end state to the variation of the vacuum gravitational entropy outside the collapsing body.
 Publication:

Physical Review D
 Pub Date:
 March 2015
 DOI:
 10.1103/PhysRevD.91.064017
 arXiv:
 arXiv:1411.5708
 Bibcode:
 2015PhRvD..91f4017A
 Keywords:

 04.20.Cv;
 04.20.Dw;
 Fundamental problems and general formalism;
 Singularities and cosmic censorship;
 General Relativity and Quantum Cosmology
 EPrint:
 8 pages, 1 figure