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arXiv · 1604.03263

Geometric model of black hole quantum $N$-portrait, extradimensions and thermodynamics

Antonia M. Frassino·Sven Köppel·Piero Nicolini
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Abstract

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.

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Antonia M. Frassino, Sven Köppel, Piero Nicolini. 2016-04-12. Geometric model of black hole quantum $N$-portrait, extradimensions and thermodynamics. https://doi.org/10.3390/e18050181

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