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Shen, Jianyong; Cai, Rong-Gen; Wang, Bin; Su, Ru-Keng; Shen, J , Fudan Univ, Dept Phys, Shanghai 200433, Peoples R China
Thermodynamic geometry and critical behavior of black holes
Source PublicationINTERNATIONAL JOURNAL OF MODERN PHYSICS A
KeywordPhase-transitions Scaling Laws Fluctuations Space World
AbstractBased on the observations that there exists an analogy between the Reissner-Nordstrom-Anti-de Sitter (RN-AdS) black holes and the van der Waals-Maxwell liquid-gas system, in which a correspondence of variables is (phi; q) <-> (V, P), we study the Ruppeiner geometry, defined as Hessian matrix of black hole entropy with respect to the internal energy (not the mass) of black hole and electric potential (angular velocity), for the RN, Kerr and RN-AdS black holes. It is found that the geometry is curved and the scalar curvature goes to negative infinity at the Davies' phase transition point for the RN and Kerr black holes. Our result for the RN-AdS black holes is also in good agreement with the one about phase transition and its critical behavior in the literature.
2007
ISSN0217-751X
Volume22Issue:1Pages:11-27
Subject AreaPhysics
Indexed BySCI
Citation statistics
Cited Times:102[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/5798
CollectionSCI期刊论文
Corresponding AuthorShen, J , Fudan Univ, Dept Phys, Shanghai 200433, Peoples R China
Recommended Citation
GB/T 7714
Shen, Jianyong,Cai, Rong-Gen,Wang, Bin,et al. Thermodynamic geometry and critical behavior of black holes[J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS A,2007,22(1):11-27.
APA Shen, Jianyong,Cai, Rong-Gen,Wang, Bin,Su, Ru-Keng,&Shen, J , Fudan Univ, Dept Phys, Shanghai 200433, Peoples R China.(2007).Thermodynamic geometry and critical behavior of black holes.INTERNATIONAL JOURNAL OF MODERN PHYSICS A,22(1),11-27.
MLA Shen, Jianyong,et al."Thermodynamic geometry and critical behavior of black holes".INTERNATIONAL JOURNAL OF MODERN PHYSICS A 22.1(2007):11-27.
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