Thermodynamics of the Reissner-Nordström black hole with quintessence matter on the EGUP framework

Abstract

In this paper, we investigate the quantum correction on thermodynamics of the Reissner-Nordström black hole in the presence of the quintessence matter associated with dark energy. To this end, the modified Hawking temperature, heat capacity, and entropy functions of the black hole are derived. { Investigation reveals that the modified uncertainty principles and normalization factor $\alpha$ restrict the lower bound value of horizon radius to affect the Hawking temperature and the parameter ${\eta }_0$ have a non-negligible effect on the heat capacity threshold.} {Furthermore}, the correction of entropy does not depend on the quintessence matter. It is also examined the equation of state associated with the pressure and the volume in this framework. In addition, we employ graphical methods to compare and discuss the findings within the generalized uncertainty principle (GUP) and extended uncertainty principle (EUP).

13 pages, 6 figures

References in corpus (8)

• Dynamics of dark energy
• Discreteness of Space from the Generalized Uncertainty Principle
• Quantum-corrected black hole thermodynamics to all orders in the Planck length
• Influence of Generalized and Extended Uncertainty Principle on Thermodynamics of FRW universe
• Effect of Non-linear Electrodynamics on Weak field deflection angle by Black Hole
• Phase transition, Quasinormal modes and Hawking radiation of Schwarzschild black hole in Quintessence field
• Effect of the modified Heisenberg algebra on the Black hole thermodynamics
• Investigation of Unruh temperature of Black holes by using of EGUP formalism

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