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Main Authors: Xia, Qi-Hang, Zhao, Hui-Hua, Ma, Meng-Sen
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2602.11611
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author Xia, Qi-Hang
Zhao, Hui-Hua
Ma, Meng-Sen
author_facet Xia, Qi-Hang
Zhao, Hui-Hua
Ma, Meng-Sen
contents We investigate the thermodynamic behavior of the Hayward-AdS black hole and compare it with its singular counterpart from which it can be constructed through the imposition of an additional constraint. The singular black hole displays a rich phase structure, including reentrant phase transitions reminiscent of those observed in higher-dimensional Kerr-AdS spacetimes. After the constraint is imposed, the resulting Hayward-AdS black hole continues to exhibit Van der Waals-type $P-V$ criticality. However, its Gibbs free energy profile differs qualitatively from that of standard RN-AdS black holes. In addition, we extend the analysis by employing thermodynamic topology to characterize the global structure of the phase space. We find that the topological charge of the singular black hole is $-1$, whereas that of the Hayward-AdS black hole becomes $+1$. This change of topological charge indicates that the constraint not only regularizes the geometry but also induces a qualitative transformation in the thermodynamic configuration space.
format Preprint
id arxiv_https___arxiv_org_abs_2602_11611
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Thermodynamic phase structure and topological charge of Hayward-AdS black holes under phase space constraints
Xia, Qi-Hang
Zhao, Hui-Hua
Ma, Meng-Sen
High Energy Physics - Theory
We investigate the thermodynamic behavior of the Hayward-AdS black hole and compare it with its singular counterpart from which it can be constructed through the imposition of an additional constraint. The singular black hole displays a rich phase structure, including reentrant phase transitions reminiscent of those observed in higher-dimensional Kerr-AdS spacetimes. After the constraint is imposed, the resulting Hayward-AdS black hole continues to exhibit Van der Waals-type $P-V$ criticality. However, its Gibbs free energy profile differs qualitatively from that of standard RN-AdS black holes. In addition, we extend the analysis by employing thermodynamic topology to characterize the global structure of the phase space. We find that the topological charge of the singular black hole is $-1$, whereas that of the Hayward-AdS black hole becomes $+1$. This change of topological charge indicates that the constraint not only regularizes the geometry but also induces a qualitative transformation in the thermodynamic configuration space.
title Thermodynamic phase structure and topological charge of Hayward-AdS black holes under phase space constraints
topic High Energy Physics - Theory
url https://arxiv.org/abs/2602.11611