$P-v$ criticality of a specific black hole in $f(R)$ gravity coupled with Yang-Mills field

Abstract

In this paper, we study the $P-v$ criticality of a specific charged AdS type black hole (SBH) in $f(R)$ gravity coupled with Yang-Mills field. In the extended phase space, we treat the cosmological constant as a thermodynamic pressure. After we study the various thermodynamical quantities, we show that the thermodynamic properties of the SBH behave as a Van der Waals liquid-gas system at the critical points and there is a first order phase transition between small-large SBH.

7 pages, 3 figures, accepted for publication in AHEP

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• Effects of quantum corrections on the criticality and efficiency of black holes surrounded by a perfect fluid
• Extended phase space thermodynamics of black holes: A study in Einstein's gravity and beyond
• Weak Deflection angle of some classes of non-linear electrodynamics black holes via Gauss-Bonnet Theorem
• Microstructure and Continuous Phase Transition of the Gauss-Bonnet AdS Black Hole
• The extended phase space thermodynamics of Planck-scale-corrected Reissner-Nordström-anti-de Sitter black hole
• On heat properties of charged AdS black holes in Gauss-Bonnet gravity coupled with nonlinear electrodynamics
• Anti-de-Sitter-Maxwell-Yang-Mills black holes thermodynamics from nonlocal observables point of view
• Phase Transition of the Horava-Lifshitz AdS black holes