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Ruppeiner theory of black hole thermodynamics

2006/11/22 by Jan E Aman, Jan E Åman, James Bedford +3 · 21 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Black hole thermodynamics #Cosmology and Gravitation Theories #Fuzzball #General relativity #Geometric Analysis and Curvature Flows #Metric (unit) #White hole #gr-qc #hep-th

paper · pdf · doi:10.1088/1742-6596/66/1/012007

published in Journal of Physics Conference Series 66, 012007 (IOP Publishing) · 10 pages, 1 figure. Talk given by N Pidokrajt at ERE2006 in Palma de Mallorca, Spain

arxiv created 2006/11/22 · openalex publication_date 2007/05/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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.

Citations