Parameter estimation of a nonlinear magnetic universe from observations

Abstract

The cosmological model consisting of a nonlinear magnetic field obeying the Lagrangian L= γF^α, 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 ${\Omega }_B$, gives as best fit from the combination of all observational data sets Ω_B=0.562^{+0.037}_{-0.038} for the scenario in which α=-1, Ω_B=0.654^{+0.040}_{-0.040} for the scenario with α=-1/4 and Ω_B=0.683^{+0.039}_{-0.043} for the one with α=-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.

arXiv comment9 pages, 4 tables, 3 figures

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