arXiv · gr-qc/9704015
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.
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Christos G. Tsagas, John D. Barrow. 1997-04-07. A Gauge-invariant Analysis of Magnetic Fields in General Relativistic Cosmology. https://doi.org/10.1088/0264-9381%2F14%2F9%2F011
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