Restricted phase space thermodynamics of charged AdS black holes in conformal gravity

Abstract

The thermodynamics of charged spherically symmetric AdS black holes in conformal gravity is revisited using the recently proposed restricted phase space (RPS) formalism. This formalism avoids all the bizarreness that arose in the extended phase space formalism for this model. It is found that the charged AdS black holes in this model may belong to a new universality class which is different from all previously studied cases under the RPS formalism. Besides the distinguished isocharge $T-S$ and isothermal $\Phi -Q_e$ behaviors, the absence of Hawking-Page transition is another notable feature. On the other hand, in the high temperature limit, the thermodynamic behavior of the present model become exactly the same as that of the Einstein gravity and the black hole scan models, which add further evidence for the universality of the recently reported correspondence between high temperature AdS black holes and low temperature quantum phonon gases in nonmetallic crystals.

22 pages, 11 pdf figures

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• Thermodynamic phase transition rate for the third-order Lovelock black hole in diverse dimensions
• Thermodynamic phase transition and winding number for the third-order Lovelock black hole
• Restricted Phase Space Thermodynamics of NED-AdS Black Holes
• Topology of restricted phase space thermodynamics in Kerr-Sen-Ads black holes
• Revisiting thermodynamic topology of Hawking-Page and Davies type phase transitions
• Holographic Thermodynamics of BTZ Black Holes and Tsallis Entropy
• Topological black holes in Einstein-Maxwell and 4D conformal gravities revisited
• Holographic Thermodynamics of Higher-Dimensional AdS Black Holes with CFT Rescaling
• Thermodynamics of Flat 4D Einstein-Gauss-Bonnet Black Hole with Rényi Entropy: An RPST-like formalism
• RPST-Inspired Formalism for Black Holes in Flat Spacetime
• Restricted Phase Space Thermodynamics of Charged Static and Charged Rotating Black Holes in $f(R)$ Gravity