Analytical approach to criticality of AdS black holes
Hong-Ming Cui, Zhong-Ying Fan
TL;DR
This paper introduces an analytical method leveraging hidden symmetries to precisely determine the critical points and coexistence lines of various AdS black holes, enhancing understanding of their phase transitions.
Contribution
It develops a novel analytical approach based on hidden symmetries to exactly solve the coexistence line for multiple types of AdS black holes and related fluids.
Findings
Exact solutions for coexistence lines of charged AdS black holes
Analytical determination of criticality in rotating and Gauss-Bonnet black holes
Unified approach applicable to diverse black hole models and fluids
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.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Astrophysical Phenomena and Observations · Cosmology and Gravitation Theories