https://doi.org/10.1140/epjc/s10052-023-11766-7
Regular Article - Theoretical Physics
Stability and Hawking-Page-like phase transition of phantom AdS black holes
1
College of Physics and Electrical Engineering, Kashi University, 844009, Kashi, Xinjiang, China
2
College of Physics, Nanjing University of Aeronautics and Astronautics, 211106, Nanjing, China
3
Key Laboratory of Aerospace Information Materials and Physics (NUAA), MIIT, 211106, Nanjing, China
Received:
16
February
2023
Accepted:
26
June
2023
Published online:
14
July
2023
In this work, we investigate the thermodynamic stability and phase structure of AdS black holes with either a Maxwell field (where we revisit past studies) or a phantom field. We conduct a comprehensive analysis of the free energy and temperature of these systems in both the canonical and grand canonical ensembles. Our findings reveal the occurrence of a phase transition in the grand canonical ensemble, resembling the Hawking-Page-like phase transition observed between the thermal radiation of AdS spacetime and thermodynamically stable large black holes. We present graphical representations of these phase transitions on free energy-temperature diagrams for the black holes. Completing our study, we obtain the transition temperature, minimum temperature and their dual relations.
© The Author(s) 2023
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