Springer Berlin Heidelberg
Berlin/Heidelberg
Springer
10052
10.1007/10052.1434-6052
1434-6052
30312819
The European Physical Journal C
Particles and Fields
Eur. Phys. J. C
Physics
Elementary Particles, Quantum Field Theory
Nuclear Physics, Heavy Ions, Hadrons
Quantum Field Theories, String Theory
Measurement Science and Instrumentation
Astronomy, Astrophysics and Cosmology
Nuclear Energy
Physics and Astronomy
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2023
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2023
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2023
EDP Sciences, Societa Italiana di Fisica (SIF) and Springer-Verlag GmbH, DE, part of Springer Nature
2023
11766
10.1140/epjc/s10052-023-11766-7
614
60
Stability and Hawking-Page-like phase transition of phantom AdS black holes
Regular Article - Theoretical Physics
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The Author(s)
2023
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit
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Funded by SCOAP3. SCOAP3 supports the goals of the International Year of Basic Sciences for Sustainable Development.
10052
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Haximjan
Abdusattar
axim@nuaa.edu.cn
College of Physics and Electrical Engineering
Kashi University
Kashi
844009
Xinjiang
China
grid.64938.30
0000 0000 9558 9911
College of Physics
Nanjing University of Aeronautics and Astronautics
Nanjing
211106
China
grid.64938.30
0000 0000 9558 9911
Key Laboratory of Aerospace Information Materials and Physics (NUAA), MIIT
Nanjing
211106
China
Abstract
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.