On the thermodynamic geometry of BTZ black holes

被引:0
作者
Sarkar, Tapobrata [1 ]
Sengupta, Gautam [1 ]
Tiwari, Bhupendra Nath [1 ]
机构
[1] Indian Inst Technol, Dept Phys, Kanpur 208016, Uttar Pradesh, India
来源
JOURNAL OF HIGH ENERGY PHYSICS | 2006年 / 11期
关键词
models of quantum gravity; black holes; LOGARITHMIC CORRECTION; EQUILIBRIUM THERMODYNAMICS; METRIC GEOMETRY; ENTROPY; GRAVITY; FORMULA; MODULI; SPACE;
D O I
暂无
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We investigate the Ruppeiner geometry of the thermodynamic state space of a general class of BTZ black holes. It is shown that the thermodynamic geometry is flat for both the rotating BTZ and the BTZ Chern Simons black holes in the canonical ensemble. We further investigate the the contribution of thermal fluctuations to the canonical entropy of the BTZ Chern Simons black holes and show that the leading logartithmic correction due to Carlip is reproduced. We establish that the inclusion of thermal fluctuations induces a non zero scalar curvature to the thermodynamic geometry.
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页数:20
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共 34 条
  • [1] Flat information geometries in black hole thermodynamics
    Aman, Jan E.
    Bengtsson, Ingemar
    Pidokrajt, Narit
    [J]. GENERAL RELATIVITY AND GRAVITATION, 2006, 38 (08) : 1305 - 1315
  • [2] Geometry of higher-dimensional black hole thermodynamics -: art. no. 024017
    Åman, JE
    Pidokrajt, N
    [J]. PHYSICAL REVIEW D, 2006, 73 (02):
  • [3] Geometry of black hole thermodynamics
    Åman, JE
    Bengtsson, I
    Pidokrajt, N
    [J]. GENERAL RELATIVITY AND GRAVITATION, 2003, 35 (10) : 1733 - 1743
  • [4] Stability and critical phenomena of black holes and black rings
    Arcioni, G
    Lozano-Tellechea, E
    [J]. PHYSICAL REVIEW D, 2005, 72 (10):
  • [5] Callen H. B., 1998, THERMODYNAMICS INTRO
  • [6] Logarithmic corrections to black hole entropy, from the Cardy formula
    Carlip, S
    [J]. CLASSICAL AND QUANTUM GRAVITY, 2000, 17 (20) : 4175 - 4186
  • [7] General logarithmic corrections to black-hole entropy
    Das, S
    Majumdar, P
    Bhaduri, RK
    [J]. CLASSICAL AND QUANTUM GRAVITY, 2002, 19 (09) : 2355 - 2367
  • [8] DEWIT B, 2005, P RTN M CORF SEP 200
  • [9] Black holes and critical points in moduli space
    Ferrara, S
    Gibbons, GW
    Kallosh, R
    [J]. NUCLEAR PHYSICS B, 1997, 500 (1-3) : 75 - 93
  • [10] Moduli, scalar charges, and the first law of black hole thermodynamics
    Gibbons, G
    Kallosh, R
    Kol, B
    [J]. PHYSICAL REVIEW LETTERS, 1996, 77 (25) : 4992 - 4995