The scalar, vector and tensor contributions of a stochastic background of magnetic fields to cosmic microwave background anisotropies

We study the contribution of a stochastic background (SB) of primordial magnetic fields (PMFs) on the anisotropies in temperature and polarization of the cosmic microwave background (CMB) radiation. A SB of PMF modelled as a fully inhomogeneous component induces non-Gaussian scalar, vector and tenso...

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Bibliographic Details
Published in:Monthly notices of the Royal Astronomical Society 2009-06, Vol.396 (1), p.523-534
Main Authors: Paoletti, D., Finelli, F., Paci, F.
Format: Article
Language:English
Subjects:
Anisotropy
Astronomy
Astrophysics
cosmic microwave background
Cosmic microwave background temperature
Earth, ocean, space
Exact sciences and technology
Magnetic fields
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Summary:We study the contribution of a stochastic background (SB) of primordial magnetic fields (PMFs) on the anisotropies in temperature and polarization of the cosmic microwave background (CMB) radiation. A SB of PMF modelled as a fully inhomogeneous component induces non-Gaussian scalar, vector and tensor metric linear perturbations. We give the exact expressions for the Fourier spectra of the relevant energy–momentum components of such a SB, given a power-law dependence parametrized by a spectral index nB for the magnetic field power spectrum cut at a damping scale kD. For all the values of nB considered here, the contribution to the CMB temperature pattern by such a SB is dominated by the scalar contribution and then by the vector one at higher multipoles. We also give an analytic estimate of the scalar contribution to the CMB temperature pattern.
ISSN:0035-8711
1365-2966
DOI:10.1111/j.1365-2966.2009.14727.x