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

Abstract

Supposing the existence of Dark Fluid with a Chaplygin-like equation of state $p=-B/\rho$ (CDF) as a cosmic background, we obtain a static spherically-symmetric black hole (BH) solution to the Einstein gravitational equations. We study the $P-V$ critical behavior of 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-$\Phi$ BH phase transition and admits the same criticality with van der Waals liquid/gas system in the non-extended phase space, where the normalization factor $q$ is considered as a thermodynamic variable, while the cosmological constant being fixed. In both $P-V$ and the newly proposed $q-\Phi$ 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 shadow context, we discover that the shadow radius can replace the event horizon radius to demonstrate the BH phase transition process, and the changes of the shadow radius can serve as order parameters for the small/large BH phase transition, indicating that the shadow radius could give us a glimpse into the BH phase structure from the observational point of view.

19 pages, 12 figures. PRD accepted version. arXiv admin note: text overlap with arXiv:2012.13271, arXiv:1407.0011 by other authors

References in corpus (14)

• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way
• Higher-dimensional black holes with a conformally invariant Maxwell source
• Effects of dark energy on P-V criticality of charged AdS black holes
• P-V criticality of charged dilatonic black holes
• Clapeyron equations and fitting formula of the coexistence curve in the extended phase space of charged AdS black holes
• Thermal Image and Phase Transitions of Charged AdS Black Holes using Shadow Analysis
• $P-V$ criticality of AdS black hole in the Einstein-Maxwell-power-Yang-Mills gravity
• Shadow thermodynamics of AdS black hole in regular spacetime
• Effect of quintessence on the energy of the Reissner-Nordstrom black hole
• Shadow thermodynamics of non-linear charged Anti-de Sitter black holes
• Black Holes in $4D$ AdS Einstein Gauss Bonnet Gravity With Power- Yang Mills Field
• Novel equal area law and analytical charge-electric potential criticality for charged Anti-de Sitter black holes
• Solvable K-essence Cosmologies and Modified Chaplygin Gas Unified Models of Dark Energy and Dark Matter

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