Entropy function approach to charged BTZ black hole

被引：0
|
作者：
Yun Soo Myung
Yong-Wan Kim
Young-Jai Park
机构：
[1] Inje University,Institute of Basic Science, School of Computer Aided Science
[2] Sogang University,Department of Physics, Center for Quantum Spacetime
来源：
General Relativity and Gravitation | 2010年 / 42卷
关键词：
Charged BTZ black hole; Entropy function approach; Wald formalism;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We find solution to the metric function f(r) = 0 of charged BTZ black hole making use of the Lambert function. The condition of extremal charged BTZ black hole is determined by a non-linear relation of Me(Q) = Q2(1 − ln Q2). Then, we study the entropy of extremal charged BTZ black hole using the entropy function approach. It is shown that this formalism works with a proper normalization of charge Q for charged BTZ black hole because AdS2 × S1 represents near-horizon geometry of the extremal charged BTZ black hole. Finally, we introduce the Wald’s Noether formalism to reproduce the entropy of the extremal charged BTZ black hole without normalization when using the dilaton gravity approach.
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页码：1919 / 1934
页数：15
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