MG15 - Talk detail

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In this talk we depict the well known Schwarzschild black hole entropy in terms of trapped gravitons within the event horizon. A discrete spectrum for the so trapped gravitons is obtained and used to calculate thermodynamic quantities. The semi-classical expression for the black hole entropy is obtained with a temperature proportional to the usual Bekenstein-Hawking one and as a result a pressure term arises in the first law of thermodynamic. My approach is an attempt do obtain the semi-classical black hole entropy in terms of degrees of freedom stored inside (but 'near') the event horizon. Moreover, it is also shown that by modifying the internal energy by a term motivated by quantum Planckian fluctuations, a phase transition emerges during evaporation process with a vanishing specific heat at Planckian scales, thus representing the end of the evaporation process.

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Accepted

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Talk

Title

Abstract

In this talk I present recent results concerning the statistical description of the Black Hole entropy in terms of trapped gravitons. In particular, I present a theorem depicting a possible physical mechanism, from finite size effects induced by Planckian fluctuations, giving trapped gravitons with a linear equation of state. As a consequence, logarithmic corrections to the Black Hole entropy naturally arise. Finally, it is also shown that such a mechanism allows a statistical description of macroscopic configurations made of cosmological constant in terms of massless excitations within a spherical box.

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