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Critical points of regular black hole with Gauss–Bonnet effected entropy

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Abstract

Thermodynamics of the new type of regular black hole associated with the cosmological constant in nonlinear electrodynamics has been investigated here. Using the modified entropy in the presence of Gauss–Bonnet coupling, the thermodynamics quantities including Hawking temperature, the first law of thermodynamics, equation of state as well as Gibbs free energy have been explored. Further, we have studied an interesting aspect of Hawking–Page phase transitions for such a black hole. Also, temperature–Gibbs free energy has been plotted against horizon radius to check the phase transitions. We use the isothermal compressibility and heat capacity to find the critical exponents and thermal stability.

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Data Availability Statement

This manuscript has no associated data, or the data will not be deposited. (There are no observational data related to this article. The necessary calculations and graphic discussion can be made available on request.)

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Acknowledgements

The research work has been supported by the Postdoctoral Fellowship at Zhejiang Normal University under Grant No. ZC304022919.

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Authors and Affiliations

  1. Department of Mathematics, COMSATS University Islamabad, Lahore-Campus, Lahore, 54000, Pakistan

    Abdul Jawad & Iqra Siddique

  2. Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur, 63100, Pakistan

    G. Abbas

  3. Department of Physics, Zhejiang Normal University, Jinhua, 321004, People’s Republic of China

    G. Mustafa

  4. Department of Mathematics, Faculty of Sciences, University of Central Punjab, Lahore, Pakistan

    Iqra Siddique

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  1. Abdul Jawad
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  2. G. Abbas
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Correspondence to G. Mustafa.

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Jawad, A., Abbas, G., Siddique, I. et al. Critical points of regular black hole with Gauss–Bonnet effected entropy. Eur. Phys. J. Plus 137, 284 (2022). https://doi.org/10.1140/epjp/s13360-022-02488-y

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