Nonlinear Problems Inspired by the Born--Infeld Theory of Electrodynamics
General Relativity and Quantum Cosmology
2024-06-14 v3 High Energy Physics - Theory
Mathematical Physics
math.MP
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.
Cite
@article{arxiv.2304.08236,
title = {Nonlinear Problems Inspired by the Born--Infeld Theory of Electrodynamics},
author = {Yisong Yang},
journal= {arXiv preprint arXiv:2304.08236},
year = {2024}
}
Comments
30 pages. An invited survey article to appear in Advances in Nonlinear Studies