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Thermodynamics of Schwarzschild black hole surrounded by quintessence with generalized uncertainty principle

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Abstract

In this manuscript, we consider a deformation on the Heisenberg algebra and investigate the effects on the thermodynamics of the Schwarzschild black hole that is surrounded by quintessence matter. To this end, we obtain the temperature, entropy and heat capacity functions of the black hole by using the standard laws of thermodynamic according to the considered deformation. We show that upper and lower bound values appear on these functions based on the quintessence and deformed algebra. Then, we derive the corrected density of quintessence matter and the black hole’s equation of state functions. We compare these results with the standard Schwarzschild black hole with and without quintessence with the graphical methods and interpret the quantum deformation effects.

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Data Availability Statement

This manuscript has associated data in a data repository. [Authors’ comment: All data included in this manuscript are available upon reasonable request by contacting with the corresponding author.]

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Acknowledgements

The authors thank the anonymous reviewer for his/her helpful and constructive comments.

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Authors and Affiliations

  1. Department of Physics, Akdeniz University, Campus, 07058, Antalya, Turkey

    B. C. Lütfüoğlu

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

    B. C. Lütfüoğlu

  3. Département de TC de SNV, Université Hassiba Benbouali, Chlef, Algeria

    B. Hamil

  4. Teacher Education College of Setif, Messaoud Zeghar, Algeria

    L. Dahbi

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  1. B. C. Lütfüoğlu
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  2. B. Hamil
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  3. L. Dahbi
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Correspondence to B. C. Lütfüoğlu.

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Lütfüoğlu, B.C., Hamil, B. & Dahbi, L. Thermodynamics of Schwarzschild black hole surrounded by quintessence with generalized uncertainty principle. Eur. Phys. J. Plus 136, 976 (2021). https://doi.org/10.1140/epjp/s13360-021-01975-y

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