Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2006-01-27
Gen.Rel.Grav.38:1305-1315,2006
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
14 pages, one figure. Dedicated to Rafael Sorkin's birthday
Scientific paper
10.1007/s10714-006-0306-1
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.
Aman Jan E.
Bengtsson Ingemar
Pidokrajt Narit
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