Four-Dimensional Entropy from Three-Dimensional Gravity

被引:5
作者
Carlip, S. [1 ]
机构
[1] Univ Calif Davis, Dept Phys, Davis, CA 95616 USA
关键词
BLACK-HOLE ENTROPY; QUANTUM-FIELD THEORY; SYMMETRIES;
D O I
10.1103/PhysRevLett.115.071302
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
At the horizon of a black hole, the action of (3 + 1)-dimensional loop quantum gravity acquires a boundary term that is formally identical to an action for three-dimensional gravity. I show how to use this correspondence to obtain the entropy of the (3 + 1)-dimensional black hole from well-understood conformal field theory computations of the entropy in (2 + 1)-dimensional de Sitter space.
引用
收藏
页数:5
相关论文
共 50 条
[1]   Choice of connection in loop quantum gravity [J].
Alexandrov, S .
PHYSICAL REVIEW D, 2002, 65 (02)
[2]   NEW VARIABLES FOR CLASSICAL AND QUANTUM-GRAVITY [J].
ASHTEKAR, A .
PHYSICAL REVIEW LETTERS, 1986, 57 (18) :2244-2247
[3]   Quantum geometry and black hole entropy [J].
Ashtekar, A ;
Baez, J ;
Corichi, A ;
Krasnov, K .
PHYSICAL REVIEW LETTERS, 1998, 80 (05) :904-907
[4]  
Ashtekar A, 2000, ADV THEOR MATH PHYS, V3, P419
[5]  
Ashtekar A, 2000, ADV THEOR MATH PHYS, V4
[6]   Mass, entropy, and holography in asymptotically de Sitter spaces [J].
Balasubramanian, V ;
de Boer, J ;
Minic, D .
PHYSICAL REVIEW D, 2002, 65 (12)
[7]   Quantum three-dimensional de Sitter space -: art. no. 046002 [J].
Bañados, M ;
Brotz, T ;
Ortiz, ME .
PHYSICAL REVIEW D, 1999, 59 (04)
[8]  
Beardon A. F., 1977, DISCRETE GROUPS AUTO
[9]   Entropy of three-dimensional black holes in string theory [J].
Birmingham, D ;
Sachs, I ;
Sen, S .
PHYSICS LETTERS B, 1998, 424 (3-4) :275-280
[10]   CONFORMAL-INVARIANCE, THE CENTRAL CHARGE, AND UNIVERSAL FINITE-SIZE AMPLITUDES AT CRITICALITY [J].
BLOTE, HWJ ;
CARDY, JL ;
NIGHTINGALE, MP .
PHYSICAL REVIEW LETTERS, 1986, 56 (07) :742-745