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Flat Information Geometries in Black Hole Thermodynamics

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arxiv gr-qc/0601119 v1 pith:EQY7TLUW submitted 2006-01-27 gr-qc

J. E. Aman , Ingemar Bengtsson , Narit Pidokrajt This is my paper · ORCID
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keywords flatblackspacestatearbitraryasymptoticallybackdimension
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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.

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Cited by 1 Pith paper

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  1. A Fluctuation Theory of Topological Susceptibility

    hep-lat 2019-08 reject novelty 3.0 of 10

    The claim that ChPT topological susceptibility fluctuations are always non-interacting relies on a determinant that the paper's own equations show to be nonzero, and the slab sub-volume analysis contains further algeb...

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