BH5 - Geometric approaches to the thermodynamics of black holes |
Speaker |
Hamid, Aymen |
Coauthors |
Giovanni Acquaviva, George F. R. Ellis, Rituparno Goswami |
Talk Title |
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 ingravitational entropy outside a collapsing body isrelated 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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