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arXiv · 1411.5708

Constructing black hole entropy from gravitational collapse

Giovanni Acquaviva·George F. R. Ellis·Rituparno Goswami·Aymen I. M. Hamid
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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.

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Giovanni Acquaviva, George F. R. Ellis, Rituparno Goswami, Aymen I. M. Hamid. 2014-11-20. Constructing black hole entropy from gravitational collapse. https://doi.org/10.1103/physrevd.91.064017

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