Volume 133, Number 6, March 2021
|Number of page(s)||5|
|Section||Geophysics, Astronomy and Astrophysics|
|Published online||11 May 2021|
Einstein-Gauss-Bonnet gravity with rational nonlinear electrodynamics
Department of Physics, University of Toronto - 60 St. Georges St., Toronto, ON M5S 1A7, Canada and Department of Chemical and Physical Sciences, University of Toronto - 3359 Mississauga Road North, Mississauga, ON L5L 1C6, Canada
Received: 7 October 2020
Accepted: 24 February 2021
We obtain an exact spherically symmetric and magnetically charged black hole solution in 4D Einstein-Gauss-Bonnet gravity coupled with rational nonlinear electrodynamics. The thermodynamics of our model is studied. We calculate the Hawking temperature and the heat capacity of the black hole. The phase transitions occur in the point where the Hawking temperature possesses an extremum. We show that black holes are thermodynamically stable at some range of event horizon radii when the heat capacity is positive. The logarithmic correction to the Bekenstein-Hawking entropy is obtained.
PACS: 95.30.Sf – Relativity and gravitation / 04.70.Bw – Classical black holes / 04.70.Dy – Quantum aspects of black holes, evaporation, thermodynamics
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