Geometric description of the thermodynamics of a black hole with power Maxwell invariant source

2014/04/25 by Gustavo Arciniega, Alberto Sánchez, Arciniega, Gustavo +1
Mathematics · Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Mathematical Physics (math-ph) #Noncommutative and Quantum Gravity Theories #gr-qc #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1404.6319

20 pages, 13 figures

arxiv created 2014/04/25 · openalex publication_date 2014/04/25 · arxiv updated 2014/04/28 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28

Abstract

Considering a nonlinear charged black hole as a thermodynamics system, we study the geometric description of its phase transitions. Using the formalism of geometrothermodynamics we show that the geometry of the space of thermodynamic equilibrium states of this kind of black holes is related with information about thermodynamic interaction, critical points and phase transitions structure. Our results indicate that the equilibrium manifold of this black hole is curved and that curvature singularities appear exactly at those places where first and second order phase transitions occur.

Citations

• Thermodynamics of black holes in anti-de Sitter space
• The thermodynamic theory of black holes

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