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Born--Infeld-type electrodynamics and magnetic black holes

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arxiv 1707.04495 v3 pith:TNEQXBBZ submitted 2017-07-12 gr-qc hep-th

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keywords blackholesmodelelectrodynamicsborn--infeld-typeholeparametersrightarrow
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abstract

We investigate a Born--Infeld-type model of nonlinear electrodynamics, possessing three parameters, coupled with general relativity. As a particular case Born--Infeld electrodynamics is reproduced. There is no singularity of the electric field at the centre of point-like charged particles and self-energy of charges is finite in this model. The magnetized black hole is studied and solutions are obtained. We demonstrate that for some parameters of the model the black hole is regular. We find the asymptotic of the metric and mass functions at $r\rightarrow\infty$ and $r\rightarrow 0$, and corrections to the Reissner--Nordstr\"{o}m solution. Thermodynamics of black holes is investigated. We calculate the Hawking temperature of black holes and show that black holes are not stable and there are phase transitions in the model under consideration.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Causality Constraints on Black Hole Thermodynamics in Nonlinear Electrodynamics

    hep-th 2025-05 conditional novelty 6.0 of 10

    Causality in nonlinear electrodynamics forces the entropy-to-mass-squared ratio of black holes to decrease with mass and the extremal mass-to-charge ratio to increase with charge.

  2. Photon Propagation and Black Hole Imaging in Kruglov Nonlinear Electrodynamics

    gr-qc 2026-04 unverdicted novelty 5.0 of 10

    In Kruglov's Born-Infeld-type nonlinear electrodynamics, the effective photon geometry around a charged black hole produces q-dependent shifts in light deflection, shadow radius, and accretion disk images, including s...

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