Thermodynamic stability and P-V criticality of nonsingular-AdS black holes endowed with clouds of strings

Abstract

We investigate the extended phase space thermodynamics of nonsingular-AdS black holes minimally coupled to clouds of strings in which we consider the cosmological constant ($\Lambda$) as the pressure ($P$) of the black holes and its conjugate variable thermodynamical volume ($V$) of the black holes. Owing to the background clouds of strings parameter ($a$), we analyse the Hawking temperature, entropy and specific heat on horizon radius for fixed-parameter $k$. We find that the strings clouds background does not alter small/large black hole (SBH/LBH) phase transition but occurs at a larger horizon radius, and two second-order phase transitions occur at a smaller horizon radius. Indeed, the $G$--$T$ plots exhibit a swallowtail below the critical pressure, implying that the first-order phase transition is analogous to the liquid-gas phase transition at a lower temperature and lower critical pressure. To further examine the analogy between nonsingular-AdS black holes and a liquid-gas system, we derive the exact critical points and probe the effects of a cloud of strings on $P-V$ criticality to find that the isotherms undergo liquid-gas like phase transition for $\tilde{T}<{\tilde{T}}_c$ at lower ${\tilde{T}}_c$. We have also calculated the critical exponents identical with Van der Walls fluid, i.e., same as those obtained before for arbitrary other AdS black holes, which implies that the background clouds of strings do not change the critical exponents.

12 pages, 16 figures

References in corpus (13)

• Thermodynamics of Black Holes in Massive Gravity
• A Note on Thermodynamics of Black Holes in Lovelock Gravity
• Effects of dark energy on P-V criticality of charged AdS black holes
• Signature of the Van der Waals like small-large charged AdS black hole phase transition in quasinormal modes
• Clouds of strings in third-order Lovelock gravity
• Holographic Van der Waals-like phase transition in the Gauss-Bonnet gravity
• Phase transition of AdS black holes in 4D EGB gravity coupled to nonlinear electrodynamics
• Cloud of strings for radiating black holes in Lovelock gravity
• A unified phase transition picture of the charged topological black hole in Horava-Lifshitz gravity
• Radiating black hole solutions in arbitrary dimensions
• Combined effects of f(R) gravity and conformally invariant Maxwell field on the extended phase space thermodynamics of higher-dimensional black holes
• Nonsingular black hole chemistry
• $P-V$ Criticality In the Extended Phase Space of Charged Accelerating AdS Black Holes

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• Photon orbits and phase transition for Letelier AdS black holes immersed in perfect fluid dark matter
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• Optical appearance of the Schwarzschild black hole in the string cloud context
• Phantom BTZ black holes
• Photon orbits and phase transition for gravitational decoupled Kerr anti-de Sitter black holes
• Thermodynamics and phase transitions of $\kappa$-deformed Schwarzschild-AdS black holes