A gauge-invariant analysis of magnetic fields in general-relativistic cosmology

1997/04/07 by Christos G. Tsagas, Christos G Tsagas, John D. Barrow +1 · 5 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology #Cosmology and Gravitation Theories #Friedmann equations #Inflation (cosmology) #Magnetic field #Magnetohydrodynamic drive #Metric expansion of space #Newtonian fluid #Relativity and Gravitational Theory #Universe #astro-ph #gr-qc

paper · pdf · doi:10.1088/0264-9381/14/9/011

published as Class.Quant.Grav.14:2539-2562,1997 · 31 pages, Latex, Submitted to Classical and Quantum Gravity

arxiv created 1997/04/07 · openalex publication_date 1997/09/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06

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 nonlinear equations for general-relativistic magnetohydrodynamic evolution are derived. A number of applications are made: the behaviour of small perturbations to Friedmann universes is studied; a comparison is made with earlier Newtonian treatments of cosmological perturbations and some effects of inflationary expansion are examined.

Citations

• Cosmological perturbations and the physical meaning of gauge-invariant variables
• Covariant and gauge-invariant approach to cosmological density fluctuations

Cited by

• Contrasting formulations of cosmological perturbations in a magnetic FLRW cosmology
• Cosmic magnetic fields from velocity perturbations in the early universe
• Magnetic connections in curved spacetime
• Diamagnetic field states in cosmological plasmas
• Magnetized gravitational waves