Geometry of Black Hole Thermodynamics View Full Text


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Article Info

DATE

2003-10

AUTHORS

Jan E. Åman, Ingemar Bengtsson, Narit Pidokrajt

ABSTRACT

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. More... »

PAGES

1733-1743

References to SciGraph publications

  • 1983-12. Thermodynamics of black holes in anti-de Sitter space in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • Identifiers

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    http://scigraph.springernature.com/pub.10.1023/a:1026058111582

    DOI

    http://dx.doi.org/10.1023/a:1026058111582

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