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.

arXiv comment10 pages, 1 figure. Talk given by N Pidokrajt at ERE2006 in Palma de Mallorca, Spain

References in corpus (18)

• The Black Hole in Three Dimensional Space Time
• Evanescent Black Holes
• A rotating black ring in five dimensions
• Dilaton Gravity in Two Dimensions
• A supersymmetric black ring
• Rotating Dilaton Black Holes
• Geometry of black hole thermodynamics
• Relating black holes in two and three dimensions
• Observables for Two-Dimensional Black Holes
• Geometry of Higher-Dimensional Black Hole Thermodynamics
• Thermodynamic Curvature of the BTZ Black Hole
• Dimensionally Reduced Gravitational Chern-Simons Term and its Kink
• Stability and Critical Phenomena of Black Holes and Black Rings
• Flat Information Geometries in Black Hole Thermodynamics
• The Classical Solutions of the Dimensionally Reduced Gravitational Chern-Simons Theory
• Hawking radiation from dilaton gravity in 1 + 1 dimensions: a pedagogical review
• Black Holes Coupled to a Massive Dilaton
• Duality in 2-dimensional dilaton gravity

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• Geometrothermodynamics of black holes in two dimensions
• Legendre submanifolds in contact manifolds as attractors and geometric nonequilibrium thermodynamics
• Geometro-thermodynamics of tidal charged black holes
• Weinhold geometry and thermodynamics of Bardeen AdS black holes
• On Geometro-thermodynamics of Dilaton Black Holes
• Thermodynamic optimization of a Penrose process: an engineers' approach to black hole thermodynamics
• Ruppeiner Geometry of Black Hole Thermodynamics
• Phase transitions in Born-Infeld AdS black holes in D-dimensions
• 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