Analytical approach to criticality of AdS black holes

2025/06/26 by Hong-Ming Cui, Zhong-Ying Fan, Cui, Hong-Ming +1 · 1 citation
Physics and Astronomy · #AdS black hole #Astrophysical Phenomena and Observations #BTZ black hole #Black Holes and Theoretical Physics #Black box #Black hole (networking) #Charged black hole #Cosmology and Gravitation Theories #Criticality #Extremal black hole #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Symmetry (geometry)

paper · pdf · doi:10.48550/arxiv.2506.20959

openalex publication_date 2025/06/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We establish a hidden symmetry between the specific volumes of the coexistent phases and hence develop an analytical approach to study criticality of AdS black holes. In particular, using the method, we solve the coexistence line exactly for a variety of black holes, including the charged AdS black hole in diverse dimensions, the rotating AdS black hole, the Gauss-Bonnet black hole and the quantum BTZ black hole as well as the Van der Waals fluid.

Citations

• Universal supercritical thermodynamics for black holes
• Critical phenomenon of quantum BTZ black holes
• Criticality of global monopole charges in diverse dimensions
• Criticality of central charges for Gauss-Bonnet black holes
• Criticality and thermodynamic geometry of quantum BTZ black holes
• Reentrant phase transitions of quantum black holes
• Maxwell's equal area law for charged Anti-deSitter black holes

Cited by

• Emergent Ising symmetry and supercritical fluids

Related

• P-V criticality of charged AdS black holes
• Phase transition in black holes
• Coexistence curves and molecule number densities of AdS black holes in the reduced parameter space
• Critical Behaviour and Microscopic Structure of Charged AdS Black Hole with a Global Monopole in Extended and Alternate Phase Spaces
• Thermodynamic supercriticality and complex phase diagram for the AdS black hole