Abstract
A new model of nonlinear electromagnetic fields possessing a dimensional parameter [Formula: see text] is proposed. Electromagnetic fields are considered as the source of the gravitation field and accelerated expansion of the universe is driven by nonlinear electromagnetic fields. We consider the magnetic universe and the stochastic magnetic field is a source of the universe acceleration. After the universe inflation and the accelerated expansion the universe decelerates. We show the causality of the model and a classical stability at the deceleration phase. The spectral index, the tensor-to-scalar ratio and the running of the spectral index were estimated that approximately fulfil the PLANCK, WMAP and BICEP2 data.
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