# Hawking-Page phase transitions of charged AdS black holes surrounded by quintessence

• Hawking-Page phase transitions between the thermal anti-de Sitter vacuum and charged black holes surrounded by quintessence are studied in the extended phase space. The quintessence field, with the state parameter $-1 < w < -1/3$, modifies the temperature and the Gibbs free energy of a black hole. The phase transition temperature $T_{\rm{HP}}$ and the Gibbs free energy $G$ are first analytically investigated for the special case of $w=-2/3$, and then, the results of numerical simulations are shown for general $w$. The phase transition temperature $T_{\rm{HP}}$ increases with pressure and decreases with electric potential. In addition, $T_{\rm{HP}}$ significantly decreases owing to the quintessence field, which generates negative pressure around the black hole.

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Da-Wei Yan, Ze-Rong Huang and Nan Li. Hawking-Page phase transitions of the charged AdS black holes surrounded by quintessence[J]. Chinese Physics C. doi: 10.1088/1674-1137/abc0cf
Da-Wei Yan, Ze-Rong Huang and Nan Li. Hawking-Page phase transitions of the charged AdS black holes surrounded by quintessence[J]. Chinese Physics C.
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沈阳化工大学材料科学与工程学院 沈阳 110142

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## Hawking-Page phase transitions of charged AdS black holes surrounded by quintessence

###### Corresponding author: Nan Li, linan@mail.neu.edu.cn
• 1. Department of Physics, College of Sciences, Northeastern University, Shenyang 110819, China
• 2. Department of Material Physics, School of Material Sciences and Engineering, Northeastern University, Shenyang 110819, China

Abstract: Hawking-Page phase transitions between the thermal anti-de Sitter vacuum and charged black holes surrounded by quintessence are studied in the extended phase space. The quintessence field, with the state parameter $-1 < w < -1/3$, modifies the temperature and the Gibbs free energy of a black hole. The phase transition temperature $T_{\rm{HP}}$ and the Gibbs free energy $G$ are first analytically investigated for the special case of $w=-2/3$, and then, the results of numerical simulations are shown for general $w$. The phase transition temperature $T_{\rm{HP}}$ increases with pressure and decreases with electric potential. In addition, $T_{\rm{HP}}$ significantly decreases owing to the quintessence field, which generates negative pressure around the black hole.

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