Magnetic fields in the early universe

Abstract

We give a pedagogical introduction to two aspects of magnetic fields in the early universe. We first focus on how to formulate electrodynamics in curved space time, defining appropriate magnetic and electric fields and writing Maxwell equations in terms of these fields. We then specialize to the case of magnetohydrodynamics in the expanding universe. We emphasize the usefulness of tetrads in this context. We then review the generation of magnetic fields during the inflationary era, deriving in detail the predicted magnetic and electric spectra for some models. We discuss potential problems arising from back reaction effects and from the large variation of the coupling constants required for such field generation.

11 pages, Review for Astronomische Nachrichten, fixed 2 typos

References in corpus (7)

• Generation of Large-Scale Magnetic Fields in Single-Field Inflation
• Magnetic fields from inflation?
• Cosmology with inhomogeneous magnetic fields
• Magnetic field production during preheating at the electroweak scale
• CMB bispectrum from primordial magnetic fields on large angular scales
• The cosmic microwave background temperature bispectrum from scalar perturbations induced by primordial magnetic fields
• Helical Magnetic Fields from Sphaleron Decay and Baryogenesis

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