Homogeneous cosmological models and non-linear electrodynamics

Mathematics

Scientific paper

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Big Bang Cosmology, Born-Infeld Theory, Electrodynamics, Electromagnetic Fields, Nonlinear Equations, Field Theory (Physics), Singularity (Mathematics), Space-Time Functions

Scientific paper

A Bianchi Type I cosmological model with a homogeneous electromagnetic field is studied using the Born-Infeld non-linear electrodynamics. With this approach, it is possible to describe the behaviour of the Universe near the initial singularity, even when the magnetic induction becomes infinite. It is found that the electromagnetic field does not influence in any appreciable way the expansion of the Universe. Implications for other Bianchi models are briefly discussed.

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