The effect of modified dispersion relations on the thermodynamics of Schwarzschild black hole surrounded by quintessence
Département de physique, Faculté des sciences exactes, Université Constantine 1, Constantine, Algeria
2 Department of Physics, University of Hradec Králové, Rokitanského 62, 500 03, Hradec Králové, Czechia
Accepted: 28 September 2022
Published online: 12 October 2022
In this manuscript, we investigate the effects of a modified dispersion relation on the thermodynamics of Schwarzschild black hole surrounded by the quintessence matter. We find that the MDR correction states the same lower bound on the horizon, while the quintessence matter specifies the upper bound to the horizon depending on the state parameter. Due to MDR correction and quintessence matter presence, we observe modifications in equation of state and specific heat functions of black hole. We show that a remnant can occur according to quintessence matter, and the black hole’s stability depends only on the modified dispersion relation.
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