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Geometrothermodynamics of higher dimensional black holes |
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| Authors: | Alessandro Bravetti Davood Momeni Ratbay Myrzakulov Hernando Quevedo |
| Institution: | 1. Dipartimento di Fisica and ICRA, Università di Roma La Sapienza, Piazzale Aldo Moro 5, 00185, Rome, Italy 2. Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, AP 70543, 04510, Mexico, DF, Mexico 3. Eurasian International Center for Theoretical Physics, Eurasian National University, Astana, 010008, Kazakhstan 4. Instituto de Cosmologia, Relatividade e Astrofisica ICRA-CBPF, Rua Dr. Xavier Sigaud, 150, CEP 22290-180, Rio de Janeiro, Brazil |
| Abstract: | We study the thermodynamics and geometrothermodynamics of different black hole configurations in more than four spacetime dimensions. We use the response functions to find the conditions under which second order phase transitions occur in higher-dimensional static Reissner–Nordström and stationary Kerr black holes. Our results indicate that the equilibrium manifold of all these black hole configurations is in general curved and that curvature singularities appear exactly at those places where second order phase transitions occur. |
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