Thermodynamic criticality of d-dimensional charged AdS black holes surrounded by quintessence with a cloud of strings ba
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Thermodynamic criticality of d-dimensional charged AdS black holes surrounded by quintessence with a cloud of strings background M. Chabab1
· S. Iraoui1
Received: 31 January 2020 / Accepted: 12 August 2020 © Springer Science+Business Media, LLC, part of Springer Nature 2020
Abstract We focus on the study of exact solution corresponding to charged AdS black holes surrounded by quintessence with a cloud of strings present in higher dimensional spacetime. We then investigate its corresponding thermodynamic criticality in the extended phase space and show that the spacetime dimension has no effect on the existence of small/large phase transition for such black holes. The heat capacity is evaluated and the geothermodynamics of Quevedo analyzed for different spacetime dimensions with the cloud of strings and quintessence parameters. We calculate the critical exponents describing the behavior of relevant thermodynamic quantities near the critical point. Finally, we also discuss the uncharged case, show how it is sensitive to the quintessence and strings cloud parameters, and when the thermodynamic behavior of the uncharged black holes is similar to Van der Waals fluid. Keywords Black holes · Phase transitions · Quintessence · Cloud of strings
Contents 1 2 3 4 5 6
Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Quintessence surrounding d-dimensional RN-AdS black holes with a cloud of strings . . Thermodynamics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Thermodynamics geometry . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Behavior near critical point . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Effects of the cloud of strings and quintessence on the criticality of uncharged black hole . 6.1 Four-dimensional AdS-Schwarzschild black hole . . . . . . . . . . . . . . . . . . . 6.2 AdS-Schwarzschild black hole with a = 0, α = 0 and d ≥ 5 . . . . . . . . . . . . .
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M. Chabab [email protected] S. Iraoui [email protected]
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High Energy and Astrophysics Laboratory, Physics Department, FSSM, Cadi Ayyad University, P.O.B. 2390, Marrakech, Morocco 0123456789().: V,-vol
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6.3 AdS-Schwarzschild BH for d ≥ 5 with specific choices of ωq 7 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . A Appendix . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . A.1 Kiselev and Letelier spacetimes . . . . . . . . . . . . . . . . d dimensional Kiselev spacetime . . . . . . . . . . . . . . . . . d dimensional Letelier spacetime . . . . . . . . . . . . . . . . . References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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