Geometric model of black hole quantum $N$-portrait, extradimensions and thermodynamics
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 -portrait beyond the semi-classical limit. We show that for a generic 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.
Keywords
Cite
@article{arxiv.1604.03263,
title = {Geometric model of black hole quantum $N$-portrait, extradimensions and thermodynamics},
author = {Antonia M. Frassino and Sven Köppel and Piero Nicolini},
journal= {arXiv preprint arXiv:1604.03263},
year = {2016}
}
Comments
36 pages, 8 figures, invited paper to the special issue "Entropy in Quantum Gravity and Quantum Cosmology" edited by R. Garattini for the journal "Entropy", accepted for publication; v2 version matching that published on the journal