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Black hole as a magnetic monopole within exponential nonlinear electrodynamics

2017/01/05 by S. I. Kruglov, S.I. Kruglov · 72 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Black hole thermodynamics #Charged black hole #Cosmology and Gravitation Theories #Entropy (arrow of time) #Extremal black hole #Magnetic monopole #Mathematical physics #Physics #Quantum Electrodynamics and Casimir Effect #Quantum electrodynamics #Quantum mechanics #gr-qc #hep-th

paper · pdf · doi:10.1016/j.aop.2016.12.036

published in Annals of Physics 378, 59-70 (Elsevier BV) · 19 pages, 4 figures

openalex publication_date 2017/01/05 · openalex created_date 2017/01/13 · arxiv created 2017/03/04 · arxiv updated 2017/03/14 · openalex updated_date 2026/08/05

Abstract

We perform the gauge covariant quantization of the exponential model of nonlinear electrodynamics. Magnetically charged black holes, in the framework of our model are considered, and the regular black hole solution is obtained in general relativity. The asymptotic black hole solution at r→ ∞ is found. We calculate the magnetic mass of the black hole and the metric function which are expressed via the parameter β of the model and the magnetic charge. The thermodynamic properties and thermal stability of regular black holes are analysed. We calculate the Hawking temperature of black holes and their heat capacity at the constant magnetic charge. We find a point where the temperature changes the sign that corresponds to the first-order phase transition. It is shown that at critical point, where the heat capacity diverges, there is a phase transition of the second-order. We obtain the parameters of the model when the black hole is stable.

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