Phase Transition of AdS Black hole in Massive Gravity Revisited via New Prescription

Abstract

We apply the new thermodynamical method proposed initially by Hindi. et al \cite{base} to revisit the phase structure of the AdS black hole in the massive gravity framework. In comparison to the standard thermodynamical method used in literature \cite{mass}, we show that this new technical approach can easily reproduce the critical behavior inherent to this black hole configuration and addresses some of the shortcomings of the standard method. We also show the ability of this new perception to find all possible critical points and regions in which phase transitions occur, an impossible task in the standard method.

arXiv comment16 pages, 3 figures, Authors affiliation updated

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Cited by in corpus (4)

• Hawking Radiation and $P-v$ Criticality of Charged Dynamical (Vaidya) Black Hole in Anti-de Sitter Space
• Three-dimensional AdS black holes in massive-power-Maxwell theor
• Black hole solutions in theory of ModMax-dRGT-like massive gravity
• On the periodic Navier--Stokes equation: An elementary approach to existence and smoothness for all dimensions $n\ge 2$