A Gauge-invariant Analysis of Magnetic Fields in General Relativistic Cosmology

Abstract

We provide a fully general-relativistic treatment of cosmological perturbations in a universe permeated by a large-scale primordial magnetic field, using the Ellis-Bruni gauge-invariant formalism. The exact non-linear equations for general relativistic magnetohydrodynamic evolution are derived. A number of applications are made: the behaviour of small perturbations to Friedmann universes are studied; a comparison is made with earlier Newtonian treatments of cosmological perturbations and some effects of inflationary expansion are examined.

31 pages, Latex, Submitted to Classical and Quantum Gravity

References in corpus (2)

• Constraints on a Primordial Magnetic Field
• Cosmological Limits on Slightly Skew Stresses

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