Stability and Hawking-Page-like phase transition of phantom AdS black holes
Haximjan Abdusattar (College of Physics, Nanjing University of Aeronautics and Astronautics, Nanjing, 211106, China, Key Laboratory of Aerospace Information Materials and Physics (NUAA), MIIT, Nanjing, 211106, China, College of Physics and Electrical Engineering, Kashi University, Kashi, Xinjiang, 844009, China)
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.
