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题名: P-V criticality in the extended phase space of black holes in massive gravity
作者: Xu, JF;  Cao, LM;  Hu, YP
刊名: PHYSICAL REVIEW D
出版日期: 2015
卷号: 91, 期号:12, 页码:124033
学科分类: Astronomy & Astrophysics ;  Physics
DOI: http://dx.doi.org/10.1103/PhysRevD.91.124033
通讯作者: Xu, JF (reprint author), Univ Sci & Technol China, Interdisciplinary Ctr Theoret Study, Hefei 230026, Anhui, Peoples R China.
文章类型: Article
英文摘要: We study the P-V criticality and phase transition in the extended phase space of charged anti-de Sitter black holes in canonical ensemble of ghost-free massive gravity, where the cosmological constant is viewed as a dynamical pressure of the black hole system. We give the generalized thermodynamic first law and the Smarr relation with massive gravity correction. We find that not only when the horizon topology is spherical but also in the Ricci flat or hyperbolic case, there appear the P-V criticality and phase transition up to the combination k + c(0)(2)c(2)m(2) in the four-dimensional case, where k characterizes the horizon curvature and c(2)m(2) is the coefficient of the second term of massive potential associated with the graviton mass. The positivity of such combination indicate the van der Waals-like phase transition. When the spacetime dimension is larger then four, the Maxwell charge there seems unnecessary for the appearance of critical behavior, but a infinite repulsion effect needed, which can also be realized through negative valued c(3)m(2) or c(4)m(2), which is third or fourth term of massive potential. When c(3)m(2) is positive, a Hawking-Page-like black hole to vacuum phase transition is shown in the five-dimensional chargeless case. For the van der Waals-like phase transition in four and five spacetime dimensions, we calculate the critical exponents near the critical point and find they are the same as those in the van der Waals liquid-gas system.
类目[WOS]: Astronomy & Astrophysics ;  Physics, Particles & Fields
关键词[WOS]: FINITE-RANGE ;  THERMODYNAMICS ;  FIELD
收录类别: SCI
项目资助者: National Natural Science Foundation of China [11205148, 11235010, 11105004] ;  Fundamental Research Funds for the Central Universities [NS2015073] ;  Shanghai Key Laboratory of Particle Physics and Cosmology [11DZ2260700]
语种: 英语
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/20972
Appears in Collections:理论物理所2015年知识产出_期刊论文

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Recommended Citation:
Xu, JF,Cao, LM,Hu, YP. P-V criticality in the extended phase space of black holes in massive gravity[J]. PHYSICAL REVIEW D,2015,91(12):124033.
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