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Thermodynamic properties, thermal image and phase transition of Einstein-Gauss-Bonnet black hole coupled with nonlinear electrodynamics

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Abstract

We obtain an exact solution of AdS black hole solution in Einstein-Gauss-Bonnet (EGB) gravity coupled with nonlinear electrodynamics. It interpolates with the AdS regular black hole and AdS EGB black hole in the absence of the Gauss-Bonnet coupling constant and both magnetic monopole charge and deviation parameter, respectively. Based on horizon thermodynamics, we study the thermodynamic properties of the obtained solution (e.g., mass, temperature, entropy, heat capacity and free energy). The Hawking temperature of the nonsingular black hole gets the maximum value at the point where specific heat diverges and the second-order phase transition occurs at the same point. We find that the smaller nonsingular black holes are stable due to positive heat capacity and negative free energy. We explicitly trace the relations between the black hole shadow and the critical behavior of charged EGB AdS regular black hole in the extended phase space.

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Acknowledgements

One of us (D.V.S.) acknowledges University Grant Commission for the start-up grant (No.30-600/2021(BSR)/1630).

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Authors and Affiliations

  1. Department of Physics, Institute of Applied Science and Humanities, GLA University, Mathura, 281406, India

    Dharm Veer Singh

  2. Department of Mathematics, Institute of Applied Science and Humanities, GLA University, Mathura, 281406, India

    Vinod Kumar Bhardwaj

  3. Department of Physics, K. L. S. College, Nawada, Bihar, 805110, India

    Sudhaker Upadhyay

  4. Department of Physics, Magadh University, Bodh Gaya, Bihar, 824234, India

    Sudhaker Upadhyay

  5. School of Physics, Damghan University, Damghan, 3671641167, Iran

    Sudhaker Upadhyay

  6. IUCAA, Pune, Maharashtra, 411007, India

    Sudhaker Upadhyay

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  1. Dharm Veer Singh
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  2. Vinod Kumar Bhardwaj
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Correspondence to Sudhaker Upadhyay.

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Singh, D.V., Bhardwaj, V.K. & Upadhyay, S. Thermodynamic properties, thermal image and phase transition of Einstein-Gauss-Bonnet black hole coupled with nonlinear electrodynamics. Eur. Phys. J. Plus 137, 969 (2022). https://doi.org/10.1140/epjp/s13360-022-03208-2

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  • DOI: https://doi.org/10.1140/epjp/s13360-022-03208-2

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