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

In this paper, we investigate the quantum correction on thermodynamics of the Reissner-Nordstrom 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) has 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). (c) 2022 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). Funded by SCOAP(3).

Automated summary

In this paper, the quantum correction on the thermodynamics of the Reissner-Nordstrom black hole in the presence of quintessence matter associated with dark energy is investigated. The modified Hawking temperature, heat capacity, and entropy functions of the black hole are derived. It is found that the modified uncertainty principles and normalization factor have significant effects on the thermodynamic properties of the black hole, and graphical methods are used to compare the findings within different uncertainty principles.