Abstract
We study the P–V criticality and phase transition in the extended phase space of anti-de Sitter (AdS) black holes in higher-dimensional de Rham, Gabadadze and Tolley (dRGT) massive gravity, treating the cosmological constant as pressure and the corresponding conjugate quantity is interpreted as thermodynamic volume. Besides the usual small/large black hole phase transitions, the interesting thermodynamic phenomena of reentrant phase transitions (RPTs) are observed for black holes in all dge 6-dimensional spacetime when the coupling coefficients c_i m^2 of massive potential satisfy some certain conditions.
Highlights
The study of thermodynamics in anti-de Sitter (AdS) black holes has been generalized to the extended phase space, where the cosmological constant is regarded as a variable and identified with thermodynamic pressure [18,19]
The variation of the cosmological constant is included in the first law of black hole thermodynamics, which ensures the consistency between the first law of black hole thermodynamics and the Smarr formula
Some investigations for thermodynamics of AdS black holes in the dRGT massive gravity have been generalized to the extended phase space [48,49,50,51,52,53], which revealed the existence of Van der Waals-like SBH/LBH phase transition
Summary
The study of thermodynamics in AdS black holes has been generalized to the extended phase space, where the cosmological constant is regarded as a variable and identified with thermodynamic pressure [18,19]. More discussions in various gravity theories can be found in [24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47] In this direction, some investigations for thermodynamics of AdS black holes in the dRGT massive gravity have been generalized to the extended phase space [48,49,50,51,52,53], which revealed the existence of Van der Waals-like SBH/LBH phase transition.
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