Dilaton gravity approach to three-dimensional Lifshitz black hole

被引:19
|
作者
Myung, Yun Soo [1 ,2 ]
Kim, Yong-Wan [1 ,2 ]
Park, Young-Jai [3 ,4 ,5 ]
机构
[1] Inje Univ, Inst Basic Sci, Gimhae 621749, South Korea
[2] Inje Univ, Sch Comp Aided Sci, Gimhae 621749, South Korea
[3] Sogang Univ, Dept Phys, Seoul 121742, South Korea
[4] Sogang Univ, Ctr Quantum Spacetime, Seoul 121742, South Korea
[5] Sogang Univ, WCU SSME Program Div, Seoul 121742, South Korea
来源
EUROPEAN PHYSICAL JOURNAL C | 2010年 / 70卷 / 1-2期
基金
新加坡国家研究基金会;
关键词
THERMODYNAMICS; DIMENSIONS; GEOMETRY;
D O I
10.1140/epjc/s10052-010-1460-x
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
The z=3 Lifshitz black hole is an exact black hole solution to the new massive gravity in three dimensions. In order to understand this black hole clearly, we perform a dimensional reduction to two-dimensional dilaton gravity by utilizing the circular symmetry. Considering the linear dilaton, we find the same Lifshitz black hole in two dimensions. This implies that all thermodynamic quantities of the z=3 Lifshitz black hole could be obtained from its corresponding black hole in two dimensions. As a result, we derive the temperature, mass, heat capacity, Bekenstein-Hawking entropy, and free energy.
引用
收藏
页码:335 / 340
页数:6
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