Universal thermodynamic extremality relations for charged AdS black hole surrounded by quintessence

Abstract

The perturbation correction of general relativity has obtained the general relationship between entropy and extremality. The relation was found to exactly hold for the charged AdS black hole, and extended to the rotating and massive gravity black holes. In this paper, We confirm the universal relation for the four dimensional RN-AdS black hole surrounded by the quintessence, and find a new extremality relation between black hole mass and the normalization factor $a$ related to the density of quintessence. Besides, we also find that when the black hole entropy increases, the correction constant is negative, the black hole mass and the mass-charge ratio decreases, hence this black hole displays WGC-like behavior. Moreover, we derive the general relationship on nonlinear electrodynamic source couples to AdS spacetime with quintessence field. We find another new extremality relation between black hole mass and the magnetic monopole charge $\beta$.

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Cited by in corpus (3)

• Joule-Thomson expansion of Reissner-Nordström-Anti-de Sitter black holes with cloud of strings and quintessence
• Thermodynamics and overcharging problem in the extended phase spaces of charged AdS black holes with cloud of strings and quintessence under charged particle absorption
• Stability of horizon with pressure and volume of d-dimensional charged AdS black holes with cloud of strings and quintessence