Wald's entropy is equal to a quarter of the horizon area in units of the effective gravitational coupling

被引:115
作者
Brustein, Ram [1 ]
Gorbonos, Dan [2 ]
Hadad, Merav [1 ,3 ,4 ]
机构
[1] Ben Gurion Univ Negev, Dept Phys, IL-84105 Beer Sheva, Israel
[2] Univ Alberta, Dept Phys, Edmonton, AB T6G 2G7, Canada
[3] Open Univ, Dept Nat Sci, IL-43107 Raanana, Israel
[4] Ruppin Acad Ctr, Sch Engn, IL-40250 Emek Hefer, Israel
来源
PHYSICAL REVIEW D | 2009年 / 79卷 / 04期
基金
以色列科学基金会;
关键词
BLACK-HOLE ENTROPY;
D O I
10.1103/PhysRevD.79.044025
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The Bekenstein-Hawking entropy of black holes in Einstein's theory of gravity is equal to a quarter of the horizon area in units of Newton's constant. Wald has proposed that in general theories of gravity the entropy of stationary black holes with bifurcate Killing horizons is a Noether charge which is in general different from the Bekenstein-Hawking entropy. We show that the Noether charge entropy is equal to a quarter of the horizon area in units of the effective gravitational coupling on the horizon defined by the coefficient of the kinetic term of a specific metric perturbation polarization on the horizon. We present several explicit examples of static spherically symmetric black holes.
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页数:9
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