Ruppeiner theory of black hole thermodynamics

Abstract

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.

10 pages, 1 figure. Talk given by N Pidokrajt at ERE2006 in Palma de Mallorca, Spain

References in corpus (2)

• Flat Information Geometries in Black Hole Thermodynamics
• Duality in 2-dimensional dilaton gravity

Cited by in corpus (8)

• Thermodynamic curvature and phase transitions in Kerr-Newman black holes
• Geometric description of BTZ black holes thermodynamics
• Weinhold geometry and thermodynamics of Bardeen AdS black holes
• On Geometro-thermodynamics of Dilaton Black Holes
• Ruppeiner Geometry of Black Hole Thermodynamics
• Thermodynamic Stability of Warped AdS3 Black Holes
• The Hookean Law of Black Holes and Fragmentation: Insights from Maximum Force Conjecture and Ruppeiner Geometry
• Banados-Teitelboim-Zanelli Black Hole in the Information Geometry