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Xu, JF; Cao, LM; Hu, YP; Xu, JF (reprint author), Univ Sci & Technol China, Interdisciplinary Ctr Theoret Study, Hefei 230026, Anhui, Peoples R China.
P-V criticality in the extended phase space of black holes in massive gravity
Source PublicationPHYSICAL REVIEW D
Language英语
AbstractWe 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.
2015
Volume91Issue:12Pages:124033
Subject AreaAstronomy & Astrophysics ; Physics
DOIhttp://dx.doi.org/10.1103/PhysRevD.91.124033
Indexed BySCI
Funding OrganizationNational Natural Science Foundation of China [11205148, 11235010, 11105004] ; National Natural Science Foundation of China [11205148, 11235010, 11105004] ; National Natural Science Foundation of China [11205148, 11235010, 11105004] ; National Natural Science Foundation of China [11205148, 11235010, 11105004] ; Fundamental Research Funds for the Central Universities [NS2015073] ; Fundamental Research Funds for the Central Universities [NS2015073] ; Fundamental Research Funds for the Central Universities [NS2015073] ; Fundamental Research Funds for the Central Universities [NS2015073] ; Shanghai Key Laboratory of Particle Physics and Cosmology [11DZ2260700] ; Shanghai Key Laboratory of Particle Physics and Cosmology [11DZ2260700] ; Shanghai Key Laboratory of Particle Physics and Cosmology [11DZ2260700] ; Shanghai Key Laboratory of Particle Physics and Cosmology [11DZ2260700]
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/20972
Collection理论物理所科研产出_SCI论文
Corresponding AuthorXu, JF (reprint author), Univ Sci & Technol China, Interdisciplinary Ctr Theoret Study, Hefei 230026, Anhui, Peoples R China.
Recommended Citation
GB/T 7714
Xu, JF,Cao, LM,Hu, YP,et al. P-V criticality in the extended phase space of black holes in massive gravity[J]. PHYSICAL REVIEW D,2015,91(12):124033.
APA Xu, JF,Cao, LM,Hu, YP,&Xu, JF .(2015).P-V criticality in the extended phase space of black holes in massive gravity.PHYSICAL REVIEW D,91(12),124033.
MLA Xu, JF,et al."P-V criticality in the extended phase space of black holes in massive gravity".PHYSICAL REVIEW D 91.12(2015):124033.
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