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

被引:20
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
来源
ENTROPY | 2016年 / 18卷 / 05期
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.
引用
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页数:22
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共 154 条
  • [1] The generalized uncertainty principle and black hole remnants
    Adler, RJ
    Chen, PS
    Santiago, DI
    [J]. GENERAL RELATIVITY AND GRAVITATION, 2001, 33 (12) : 2101 - 2108
  • [2] Six easy roads to the Planck scale
    Adler, Ronald J.
    [J]. AMERICAN JOURNAL OF PHYSICS, 2010, 78 (09) : 925 - 932
  • [3] Detecting microscopic black holes with neutrino telescopes -: art. no. 124015
    Alvarez-Muñiz, J
    Feng, JL
    Halzen, F
    Han, T
    Hooper, D
    [J]. PHYSICAL REVIEW D, 2002, 65 (12):
  • [4] CAN SPACETIME BE PROBED BELOW THE STRING SIZE
    AMATI, D
    CIAFALONI, M
    VENEZIANO, G
    [J]. PHYSICS LETTERS B, 1989, 216 (1-2) : 41 - 47
  • [5] [Anonymous], 2015, ARXIV150901147
  • [6] [Anonymous], 1997, ARXIVHEPTH9702146
  • [7] Non-commutative geometry inspired charged black holes
    Ansoldi, Stefano
    Nicolini, Piero
    Smailagic, Anais
    Spallucci, Euro
    [J]. PHYSICS LETTERS B, 2007, 645 (2-3) : 261 - 266
  • [8] New dimensions at a millimeter to a fermi and superstrings at a TeV
    Antoniadis, I
    Arkani-Hamed, N
    Dimopoulos, S
    Dvali, G
    [J]. PHYSICS LETTERS B, 1998, 436 (3-4) : 257 - 263
  • [9] Bounds on universal extra dimensions
    Appelquist, T
    Cheng, HC
    Dobrescu, BA
    [J]. PHYSICAL REVIEW D, 2001, 64 (03)
  • [10] Black holes and sub-millimeter dimensions
    Argyres, PC
    Dimopoulos, S
    March-Russell, J
    [J]. PHYSICS LETTERS B, 1998, 441 (1-4) : 96 - 104