Gauge Invariant Wave Equations in Curved Space-Times and Primordial Magnetic Fields

Details Gauge Invariant Wave Equations in Curved Space-Times and Primordial Magnetic Fields Gauge Invariant Wave Equations in Curved Space-Times and Primordial Magnetic Fields

2004-07-19

arxiv.org/abs/gr-qc/0407071v1

Phys.Rev. D70 (2004) 063502

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, no figures, 1 table

Scientific paper

10.1103/PhysRevD.70.063502

The inflationary production of magnetic field seeds for galaxies is discussed. The analysis is carried out by writing the wave equation of the electromagnetic field in curved spacetimes. The conformal invariance is broken by taking into account of the interaction of the electromagnetic field with the curvature tensor of the form $\lambda R_{\alpha\beta\gamma\delta} F^{\alpha\beta} F^{\gamma\delta}$. Such a term induces an amplification of the magnetic field during the reheating phase of the universe, but no growth of the magnetic field occurs in the de Sitter epoch. The resulting primordial magnetic field turns out to have strengths of astrophysical interest.

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