General Relativity and Gravitation

, Volume 38, Issue 8, pp 1305–1315 | Cite as

Flat Information Geometries in Black Hole Thermodynamics

  • Jan E. Åman
  • Ingemar Bengtsson
  • Narit Pidokrajt
Research Article


The Hessian of either the entropy or the energy function can be regarded as a metric on a Gibbs surface. For two parameter families of asymptotically flat black holes in arbitrary dimension one or the other of these metrics are flat, and the state space is a flat wedge. The mathematical reason for this is traced back to the scale invariance of the Einstein–Maxwell equations. The picture of state space that we obtain makes some properties such as the occurence of divergent specific heats transparent.


Black Hole Event Horizon Black Ring Extremal Black Hole Kerr Black Hole 
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Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

  • Jan E. Åman
    • 1
  • Ingemar Bengtsson
    • 1
  • Narit Pidokrajt
    • 1
  1. 1.AlbaNova FysikumStockholm UniversityStockholmSweden

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