Magnetised Cosmological Perturbations:. a Dynamical Systems Approach

Details Magnetised Cosmological Perturbations:. a Dynamical Systems Approach Magnetised Cosmological Perturbations:. a Dynamical Systems Approach

Jul 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001rfg..conf..317h&link_type=abstract

REFERENCE FRAMES AND GRAVITOMAGNETISM. Proceedings of the XXIII Spanish Relativity Meeting. Held 6-9 September 2000 in Valladoli

Physics

Scientific paper

Using a two-fluid approach we write the equations describing the evolution of density and magnetic field inhomogeneities and curvature perturbations in a matter-radiation universe as a fourth order autonomous dynamical system. Analysis of the equilibrium points for the radiation dominated era lead to solutions similar to the super-horizon modes found analytically by Tsagas and Maartens. We find that a study of the dynamical system in the dust-dominated era leads naturally to a magnetic critical length scale closely related to the Jeans Length. Depending on the size of wavelengths relative to this scale, these solutions show three distinct behaviours: large-scale stable growing modes, intermediate decaying modes, and small-scale damped oscillatory solutions.

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