THERMODYNAMIC GEOMETRY AND CRITICAL BEHAVIOR OF BLACK HOLES
By Jianyong Shen, R. Cai, Bin Wang, R. Su. 2005
176 citations recorded by the source corpus.
Based 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 (ϕ,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.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/9add7aedcfb734a953d77d7a698e71498a52536e
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Citations in the corpus
- Geometrothermodynamics of black holes (2007, methodology): “Several attempts have been made in order to describe the thermodynamic behavior of black holes in terms of metrics defined on E [10, 11, 12, 13, 14].”
- On the thermodynamic geometry of BTZ black holes (2006, background): “This was first explored in the context of charged black hole configurations of N = 2 supergravity [5], and since then, several authors have attempted to understand this connection [6], [8–10] both for supersymmetric as well as non-supersymmetric black holes.”