Geometry of Black Hole Thermodynamics

By J. E. Åman, Ingemar Bengtsson, Narit Pidokrajt. 2003

191 citations recorded by the source corpus.

The Hessian of the entropy function can be thought of as a metric tensor on the state space. In the context of thermodynamical fluctuation theory Ruppeiner has argued that the Riemannian geometry of this metric gives insight into the underlying statistical mechanical system; the claim is supported by numerous examples. We study this geometry for some families of black holes. It is flat for the BTZ and Reissner–Nordström black holes, while curvature singularities occur for the Reissner–Nordström–anti–de Sitter and Kerr black holes.

Subfields: Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/6f86e1e176a57b59aae44a314d39ff18db4e494d

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In Nuclear and High Energy Physics

In Statistical and Nonlinear Physics

Citations in the corpus

Ruppeiner geometry, phase transitions, and the microstructure of charged AdS black holes (2019, background): “[18] J.”
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): “(7), (12), (10) and (11), it can be easily shown that the Ricci scalar vanishes identically [10].”