Critical behavior of AdS black holes surrounded by dark fluid with Chaplygin-like equation of state

作者：Xiangqian Li, Haopeng Yan, Lili Xing, Shiwei Zhou · 发表于：Physical review. D/Physical review. D. · 年份：2023 · DOI：10.1103/physrevd.107.104055 · 被引用次数：29 · 研究领域：Black Holes and Theoretical Physics、Cosmology and Gravitation Theories、Galaxies: Formation, Evolution, Phenomena

Supposing the existence of dark fluid with a Chaplygin-like equation of state $p=\ensuremath{-}B/\ensuremath{\rho}$ (CDF) as a cosmic background, we obtain a static spherically symmetric black hole (BH) solution to the Einstein gravitational equations. We study the $P\ensuremath{-}V$ critical behavior of an anti-de Sitter (AdS) BH surrounded by the CDF in the extended phase space where the cosmological constant appears as pressure, and our results show the existence of the van der Waals like small/large BH phase transition. Also, it is found that such a BH displays a first-order low-/high-$\mathrm{\ensuremath{\Phi}}$ BH phase transition and admits the same criticality with the van der Waals liquid/gas system in the nonextended phase space, where the normalization factor $q$ is considered as a thermodynamic variable, while the cosmological constant is fixed. In both $P\ensuremath{-}V$ and the newly proposed $q\ensuremath{-}\mathrm{\ensuremath{\Phi}}$ phase spaces, we calculate the BH equations of state and then numerically study the corresponding critical quantities. Moreover, the critical exponents are derived, and the results show the universal class of the scaling behavior of thermodynamic quantities near criticality. Finally, we study the shadow thermodynamics of AdS BHs surrounded by the CDF. We find that there exists a positive correlation between the shadow radius and the event horizon radius in our case. By analyzing the temperature and heat capacity curves under the s...