Realistic Cyclic Magnetic Universe

This work presents a complete cyclic cosmological scenario based on nonlinear magnetic field. It is constructed a model composed by five fluids namely baryonic matter, dark matter, radiation, neutrinos and a cosmological magnetic field. The first four fluids are treated in the standard way and the fifth fluid, the magnetic field, is described by a nonlinear electrodynamics. The free parameters are fitted by observational data (SNIa, CMB, extragalactic magnetic fields, etc) and by simple theoretical considerations. As result arises a cyclic cosmological model which preserves the main successes of standard big bang model and solve some other problems like the initial singularity, the present acceleration and the Big Rip.