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Exact solution of Bardeen black hole in Einstein–Gauss–Bonnet gravity

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Abstract

We have obtained a new exact regular black hole solution for the EGB gravity coupled with nonlinear electrodynamics in AdS space. The numerical analysis of horizon structure suggests two horizons exist: Cauchy and event. We also study the thermal properties of this black hole, which satisfy the modified first law of thermodynamics. Moreover, we analyze the local and global stability of the black hole. The \(P-V\) criticality and phase transition are also discussed. The critical exponents for the present model exactly match the mean field theory.

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Acknowledgements

This research has been/was/is funded by the Science Committee of the Ministry of Science and Higher Education of the Republic of Kazakhstan (Grant No. AP09058240). D.V.S. thanks 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 Sciences and Humanities, GLA University, Mathura, Uttar Pradesh, 281406, India

    Amit Kumar & Dharm Veer Singh

  2. Department of General and Theoretical Physics, L.N. Gumilyov Eurasian National University, Astana, 010008, Kazakhstan

    Yerlan Myrzakulov & Gulmira Yergaliyeva

  3. Ratbay Myrzakulov Eurasian International Center for Theoretical Physics, Astana, 010009, Kazakhstan

    Yerlan Myrzakulov

  4. Department of Physics, K.L.S. College, Magadh University, Nawada, 805110, India

    Sudhaker Upadhyay

  5. School of Physics, Damghan University, P.O. Box 3671641167, Damghan, Iran

    Sudhaker Upadhyay

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  1. Amit Kumar
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  2. Dharm Veer Singh
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Correspondence to Sudhaker Upadhyay.

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Dharm Veer Singh: Visiting Associate at IUCAA Pune, India

Sudhaker Upadhyay: Visiting Associate at IUCAA Pune, India.

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Kumar, A., Singh, D.V., Myrzakulov, Y. et al. Exact solution of Bardeen black hole in Einstein–Gauss–Bonnet gravity. Eur. Phys. J. Plus 138, 1071 (2023). https://doi.org/10.1140/epjp/s13360-023-04718-3

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