Nonlinear Problems Inspired by the Born--Infeld Theory of Electrodynamics
arXiv:2304.08236 · doi:10.1515/ans-2023-0123
Abstract
It is shown that nonlinear electrodynamics of the Born--Infeld theory type may be exploited to shed insight into a few fundamental problems in theoretical physics, including rendering electromagnetic asymmetry to energetically exclude magnetic monopoles, achieving finite electromagnetic energy to relegate curvature singularities of charged black holes, and providing theoretical interpretation of equations of state of cosmic fluids via k-essence cosmology. Also discussed are some nonlinear differential equation problems.
30 pages. An invited survey article to appear in Advances in Nonlinear Studies
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