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BH4 - Gravitational fields with sources: From compact objects to black holes

Speaker

Quinta, Gonçalo

Coauthors

José P. S. Lemos

Talk Title

Entropy of d-dimensional thin shells and black hole limit

Abstract

A d-dimensional static thin matter shell in a Schwarzschild spacetime is studied at the mechanical and thermodynamical levels. By specifying the nature of the spacetime around the shell we are led to a set of equations for the rest mass density and pressure which determine its mechanical behavior. A thermodynamic study of the shell is thus attainable by first calculating the entropy of the shell followed by a thermodynamic stability analysis. The shell is finally taken to its gravitational radius, where we recover the Bekenstein-Hawking entropy of a d-dimensional Schwarzschild black hole.

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