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

被引:21
作者
Frassino, Antonia M. [1 ,2 ]
Koeppel, Sven [1 ,2 ]
Nicolini, Piero [1 ,2 ]
机构
[1] Goethe Univ Frankfurt, Frankfurt Inst Adv Studies, D-60438 Frankfurt, Germany
[2] Goethe Univ Frankfurt, Inst Theoret Phys, D-60439 Frankfurt, Germany
关键词
black hole evaporation; black hole thermodynamics; GENERALIZED UNCERTAINTY PRINCIPLE; HORIZON WAVE-FUNCTION; FUZZBALL PROPOSAL; HIERARCHY PROBLEM; EXTRA DIMENSIONS; GRAVITY; CREATION;
D O I
10.3390/e18050181
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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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页数:22
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