Central charge criticality of charged AdS black hole surrounded by different fluids

Abstract

We analyze the extended phase space thermodynamics of Kiselev black hole introducing a central charge and allowing the gravitational constant to vary. We also discuss the relation between the chemical potential and the size of the black hole, besides the new description of phase transitions. We obtain as a conclusion that the universality of the central charge does not remain valid in general.

21 pages, 3 figures. Close to published version

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• AdS black hole thermodynamics and microstructures from $f(Q)$ gravitation
• Thermodynamics and phase transition in central charge criticality of charged Gauss-Bonnet AdS black holes
• CFT Phase Transition Analysis of Charged, Rotating Black Holes in $D=4$: A Holographic Thermodynamics Approach
• A varying gravitational constant map in asymptotically AdS black hole thermodynamics
• Probing dark fluids and modified gravity with gravitational lensing