https://doi.org/10.1140/epjp/s13360-023-04718-3
Regular Article
Exact solution of Bardeen black hole in Einstein–Gauss–Bonnet gravity
1
Department of Physics, Institute of Applied Sciences and Humanities, GLA University, 281406, Mathura, Uttar Pradesh, India
2
Department of General and Theoretical Physics, L.N. Gumilyov Eurasian National University, 010008, Astana, Kazakhstan
3
Ratbay Myrzakulov Eurasian International Center for Theoretical Physics, 010009, Astana, Kazakhstan
4
Department of Physics, K.L.S. College, Magadh University, 805110, Nawada, India
5
School of Physics, Damghan University, P.O. Box 3671641167, Damghan, Iran
Received:
3
September
2023
Accepted:
20
November
2023
Published online:
2
December
2023
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 
criticality and phase transition are also discussed. The critical exponents for the present model exactly match the mean field theory.
Dharm Veer Singh: Visiting Associate at IUCAA Pune, India
Sudhaker Upadhyay: Visiting Associate at IUCAA Pune, India.
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