Magnetic fields in the early universe

Details Magnetic fields in the early universe Magnetic fields in the early universe

2009-11-25

arxiv.org/abs/0911.4771v2

Astron. Nachr., 331, No. 1, 110-120 (2010)

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

11 pages, Review for Astronomische Nachrichten, fixed 2 typos

Scientific paper

10.1002/asna.200911312

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.

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