Magnetised cosmological perturbations: A dynamical systems approach
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S. Hobbs [1] ; P. K. S. Dunsby [1]
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[1] University of Cape Town
University of Cape Town
City of Cape Town, Sudáfrica
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- Localización: Proceedings of the XXIII Spanish Relativity Meeting on Reference Frames and Gravitomagnetism: Valladolid, Spain, 6-9 September 2000 / coord. por Angel San Miguel Blanco, F. Vicente; José Fernando Pascual Sánchez (ed. lit.), Luis Floría (ed. lit.), 2001, ISBN 9810246315, págs. 317-324
- Idioma: inglés
- Texto completo no disponible (Saber más ...)
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Resumen
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.
