Analytical approach to criticality of AdS black holes
General Relativity and Quantum Cosmology
2025-08-19 v2
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.
Cite
@article{arxiv.2506.20959,
title = {Analytical approach to criticality of AdS black holes},
author = {Hong-Ming Cui and Zhong-Ying Fan},
journal= {arXiv preprint arXiv:2506.20959},
year = {2025}
}
Comments
Major revisions. The coexistence lines for the VdW fluid and higher dimensional charged black holes are solved exactly