Thermodynamic geometry of black holes in the canonical ensemble

2017/05/14 by Pankaj Chaturvedi, Sayid Mondal, Gautam Sengupta · 20 citations
Mathematics · Physics and Astronomy · Psychology · #Attribution #Black Holes and Theoretical Physics #Canonical ensemble #Citation #Computer science #Cosmology and Gravitation Theories #Law #Library science #License #Mathematics #Physics #Political science #Psychology #Quantum Electrodynamics and Casimir Effect #Social psychology #Statistics #Subject (documents) #Thermodynamics #Work (physics) #hep-th

paper · pdf · doi:10.1103/physrevd.98.086016

published in Physical review. D/Physical review. D. 98(8) (American Physical Society) · 17 pages Latex, 8 figures

arxiv created 2017/05/14 · openalex publication_date 2018/10/17 · arxiv updated 2018/10/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We investigate the phase structure and critical phenomena for four dimensional Reissner-Nordstrm-AdS and Kerr-AdS black holes in the canonical ensemble, both for the normal and the extended phase space employing the framework of thermodynamic geometry. The thermodynamic scalar curvatures for these black holes characterize the liquid-gas-like first order phase transition analogous to the van der Waals fluids, through the R-Crossing method. It is also shown that the thermodynamic scalar curvatures diverge as a function of the temperature at the second order critical point.

Citations

• Black Holes: Fermions at the Extremal Limit?
• Thermodynamics of Kerr-Newman-AdS Black Holes and Conformal Field Theories
• Ruppeiner geometry of anyon gas
• Enthalpy and the Mechanics of AdS Black Holes
• The Thermodynamics of Black Holes
• Thermodynamics of black holes in anti-de Sitter space
• Thermodynamic geometry and phase transitions in Kerr-Newman-AdS black holes
• The Large-N Limit of Superconformal Field Theories and Supergravity