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

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

1997-04-07

arxiv.org/abs/gr-qc/9704015v1

Class.Quant.Grav.14:2539-2562,1997

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

31 pages, Latex, Submitted to Classical and Quantum Gravity

Scientific paper

10.1088/0264-9381/14/9/011

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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