Can a nonlinear electrodynamics avoid the initial singularity?

Astronomy and Astrophysics – Astronomy

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Scientific paper

A fundamental difficulty underlying standard FRW cosmologies is the prediction of an initial singularity. Several mechanisms have been proposed in an attempt to solve this problem. Some examples are: a creation-field cosmology, a huge vacuum energy density at very early times, quadratic Lagrangians for the gravitational field, nonminimal couplings, nonequilibrium thermodynamic effects and quantum-gravitational phenomena. In this work we investigate the possibility of avoiding the cosmic initial singularity as a consequence of nonlinear effects on the Maxwell electromagnetic theory. For a FRW geometry we derive the general nonsingular solution in the absence of a vacuum energy density. The form of this analytic extension of the FRW model is not significantly altered by the presence of a nonvanishing vacuum energy density and nonsingular behavior of solutions with a time-dependent L(t)-term are also examined. All models, are examples of bouncing universes which may exhibit an inflationary dynamics driven by the nonlinear corrections of the magnetic field.

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