Critical behavior of charged AdS black holes surrounded by quintessence via an alternative phase space

Abstract

Considering the variable cosmological constant in the extended phase space has a significant background in the black hole physics. It was shown that the thermodynamic behavior of charged AdS black hole surrounded by the quintessence in the extended phase space is similar to the van der Waals fluid. In this paper, we indicate that such a black hole admits the same criticality and van der Waals like behavior in the non-extended phase space. In other words, we keep the cosmological constant as a fixed parameter, and instead, we consider the normalization factor as a thermodynamic variable. We show that there is a first-order small/large black hole phase transition which is analogous to the liquid/gas phase transition in fluids. We introduce a new picture of the equation of state and then we calculate the corresponding critical quantities. Moreover, we obtain the critical exponents and show that they are the same values as the van der Waals system. Finally, we study the photon sphere and the shadow observed by a distant observer and investigate how the shadow radius may be affected by the variation of black hole parameters. We also investigate the relations between shadow radius and phase transitions and calculate the critical shadow radius where the black hole undergoes a second-order phase transition.

25 pages, 14 figures

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• NUT charges and black hole shadows
• Universal thermodynamic topological classes of static black holes in Conformal Killing Gravity
• Joule-Thomson expansion of charged dilatonic black holes
• Thermodynamics of Non-linear magnetic-charged AdS black hole surrounded by quintessence, in the background of perfect fluid dark matter
• Thermodynamics of the Reissner-Nordström-de Sitter Spacetime with Quintessence
• AdS Black Brane Solution Surrounded by Quintessence in Massive Gravity and KSS Bound
• Shadows and Optical Appearances of Black Holes in $R^2$ Gravity
• Can we know about black hole thermodynamics through shadows?
• Can shadows connect black hole microstructures?
• Lyapunov exponents, phase transition and chaos bound in Kerr-Newman AdS spacetime