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The effect of modified dispersion relations on the thermodynamics of Schwarzschild black hole surrounded by quintessence

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Abstract

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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The authors declare that the data supporting the findings of this study are available within the article.

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Acknowledgements

The authors thank the anonymous referee for a thorough reading of our manuscript and for constructive suggestions. BCL is supported by the Internal Project [2022/2218] of Excellent Research of the Faculty of Science of Hradec Králové University.

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Authors and Affiliations

  1. Département de physique, Faculté des sciences exactes, Université Constantine 1, Constantine, Algeria

    B. Hamil

  2. Department of Physics, University of Hradec Králové, Rokitanského 62, 500 03, Hradec Králové, Czechia

    B. C. Lütfüoğlu

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  1. B. Hamil
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Correspondence to B. C. Lütfüoğlu.

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Hamil, B., Lütfüoğlu, B.C. The effect of modified dispersion relations on the thermodynamics of Schwarzschild black hole surrounded by quintessence. Eur. Phys. J. Plus 137, 1124 (2022). https://doi.org/10.1140/epjp/s13360-022-03336-9

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