Thermodynamics of black holes in massive gravity
Thermodynamics of black holes in massive gravity
复制标题
大质量黑洞的热力学
DOI：
10.1103/physrevd.91.024032
复制
发表时间：
2015-01-22
影响因子：
5
通讯作者：
Zhang, Yun-Long
中科院分区：
文献类型：
--
作者：
Cai, Rong-Gen;Hu, Ya-Peng;Zhang, Yun-Long
We present a class of charged black hole solutions in an (n + 2)-dimensional massive gravity with a negative cosmological constant, and study thermodynamics and phase structure of the black hole solutions both in grand canonical ensemble and canonical ensemble. The black hole horizon can have a positive, zero or negative constant curvature characterized by constant k. By using Hamiltonian approach, we obtain conserved charges of the solutions and nd black hole entropy still obeys the area formula and the gravitational eld equation at the black hole horizon can be cast into the rst law form of black hole thermodynamics. In grand canonical ensemble, we nd that thermodynamics and phase structure depends on the combination k 2 =4 +c2m 2 in the four dimensional case, where is the chemical potential and c2m 2 is the coecient of the second term in the potential associated with graviton mass. When it is positive, the Hawking-Page phase transition can happen, while as it is negative, the black hole is always thermodynamically stable with a positive capacity. In canonical ensemble, the combination turns out to be k +c2m 2 in the four di
