Parameter estimation of a nonlinear magnetic universe from observations

The cosmological model consisting of a nonlinear magnetic field obeying the Lagrangian \(\mathcal {L}= \gamma F^{\alpha },\, F\) being the electromagnetic invariant, coupled to a Robertson-Walker geometry is tested with observational data of Type Ia Supernovae, Long Gamma-Ray Bursts and Hubble parameter measurements. The statistical analysis show that the inclusion of nonlinear electromagnetic matter is enough to produce the observed accelerated expansion, with not need of including a dark energy component. The electromagnetic matter with abundance \(\varOmega _B\), gives as best fit from the combination of all observational data sets \(\varOmega _B=0.562^{+0.037}_{-0.038}\) for the scenario in which \(\alpha =-1, \varOmega _B=0.654^{+0.040}_{-0.040}\) for the scenario with \(\alpha =-1/4\) and \(\varOmega _B=0.683^{+0.039}_{-0.043}\) for the one with \(\alpha =-1/8\). These results indicate that nonlinear electromagnetic matter could play the role of dark energy, with the theoretical advantage of being a mensurable field.