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Entropy 2016, 18(5), 181; doi:10.3390/e18050181

Geometric Model of Black Hole Quantum N-portrait, Extradimensions and Thermodynamics

Frankfurt Institute for Advandced Studies (FIAS), Johann Wolfgang Goethe-Universität Frankfurt am Main, Frankfurt am Main 60438, Germany
Institut für Theoretische Physik, Johann Wolfgang Goethe-Universität Frankfurt am Main, Frankfurt am Main 60439, Germany
Author to whom correspondence should be addressed.
Academic Editor: Remo Garattini
Received: 25 January 2016 / Revised: 10 April 2016 / Accepted: 12 April 2016 / Published: 14 May 2016
(This article belongs to the Special Issue Entropy in Quantum Gravity and Quantum Cosmology)
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Recently a short scale modified black hole metric, known as holographic metric, has been proposed in order to capture the self-complete character of gravity. In this paper we show that such a metric can reproduce some geometric features expected from the quantum N-portrait beyond the semi-classical limit. We show that for a generic N this corresponds to having an effective energy momentum tensor in Einstein equations or, equivalently, non-local terms in the gravity action. We also consider the higher dimensional extension of the metric and the case of an AdS cosmological term. We provide a detailed thermodynamic analysis of both cases, with particular reference to the repercussions on the Hawking-Page phase transition. View Full-Text
Keywords: black hole evaporation; black hole thermodynamics black hole evaporation; black hole thermodynamics

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Frassino, A.M.; Köppel, S.; Nicolini, P. Geometric Model of Black Hole Quantum N-portrait, Extradimensions and Thermodynamics. Entropy 2016, 18, 181.

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