Thermodynamics of toroidal black holes

被引:45
作者
Peça, CS
Lemos, JPS
机构
[1] Inst Super Tecn, Dept Fis, P-1096 Lisbon, Portugal
[2] CNPq, Onserv Nacl, Dept Astrofis, BR-20921 Rio De Janeiro, Brazil
关键词
D O I
10.1063/1.533378
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The thermodynamical properties of toroidal black holes in the grand canonical ensemble are investigated using York's formalism. The black hole is enclosed in a cavity with finite radius where the temperature and electrostatic potential are fixed. The boundary conditions allow one to compute the relevant thermodynamical quantities, e.g., thermal energy, entropy, and specific heat. This black hole is thermodynamically stable and dominates the grand partition function. This means that there is no phase transition, such as the one encountered for spherical black holes. (C) 2000 American Institute of Physics. [S0022-2488(00)05805-9].
引用
收藏
页码:4783 / 4789
页数:7
相关论文
共 20 条
[1]   Making anti-de Sitter black holes [J].
Aminneborg, S ;
Bengtsson, I ;
Holst, S ;
Peldan, P .
CLASSICAL AND QUANTUM GRAVITY, 1996, 13 (10) :2707-2714
[2]   BLACK HOLES AND ENTROPY [J].
BEKENSTEIN, JD .
PHYSICAL REVIEW D, 1973, 7 (08) :2333-2346
[3]   CHARGED BLACK-HOLE IN A GRAND CANONICAL ENSEMBLE [J].
BRADEN, HW ;
BROWN, JD ;
WHITING, BF ;
YORK, JW .
PHYSICAL REVIEW D, 1990, 42 (10) :3376-3385
[4]   Thermodynamics of (3+1)-dimensional black holes with toroidal or higher genus horizons [J].
Brill, DR ;
Louko, J ;
Peldan, P .
PHYSICAL REVIEW D, 1997, 56 (06) :3600-3610
[5]  
Callen H.B., 1985, THERMODYNAMICS INTRO, DOI 10.1119/1.19071
[6]  
DEBENEDICTIS A, 1998, GRQC9808025
[7]   THERMODYNAMICS OF BLACK-HOLES IN ANTI-DESITTER SPACE [J].
HAWKING, SW ;
PAGE, DN .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1983, 87 (04) :577-588
[8]   PARTICLE CREATION BY BLACK-HOLES [J].
HAWKING, SW .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1975, 43 (03) :199-220
[9]   A TORUS-LIKE BLACK-HOLE [J].
HUANG, CG ;
LIANG, CB .
PHYSICS LETTERS A, 1995, 201 (01) :27-32
[10]   Rotating charged black strings and three-dimensional black holes [J].
Lemos, JPS ;
Zanchin, VT .
PHYSICAL REVIEW D, 1996, 54 (06) :3840-3853