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Ruppeiner theory of black hole thermodynamics

Jan E Åman1, James Bedford2,3, Daniel Grumiller4, Narit Pidokrajt1 and John Ward2,3

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The Ruppeiner metric as determined by the Hessian of the Gibbs surface provides a geometric description of thermodynamic systems in equilibrium. An interesting example is a black hole in equilibrium with its own Hawking radiation. In this article, we present results from the Ruppeiner study of various black hole families from different gravity theories e.g. 2D dilaton gravity, BTZ, general relativity and higher-dimensional Einstein-Maxwell gravity.


PACS

04.70.Dy Quantum aspects of black holes, evaporation, thermodynamics

04.60.-m Quantum gravity

02.40.Ky Riemannian geometries

Subjects

Mathematical physics

Gravitation and cosmology

Dates

Issue 1 (2007)



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