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The Cosmic Microwave Background and Helical Magnetic Fields: the tensor mode

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arxiv astro-ph/0304556 v3 pith:KE2P7EMH submitted 2003-04-30 astro-ph

The Cosmic Microwave Background and Helical Magnetic Fields: the tensor mode

classification astro-ph
keywords magneticfieldhelicaltensorbackgroundclosecomponentcosmic
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study the effect of a possible helicity component of a primordial magnetic field on the tensor part of the cosmic microwave background temperature anisotropies and polarization. We give analytical approximations for the tensor contributions induced by helicity, discussing their amplitude and spectral index in dependence of the power spectrum of the primordial magnetic field. We find that an helical magnetic field creates a parity odd component of gravity waves inducing parity odd polarization signals. However, only if the magnetic field is close to scale invariant and if its helical part is close to maximal, the effect is sufficiently large to be observable. We also discuss the implications of causality on the magnetic field spectrum.

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    Induced gravitational waves during inflation obey a universal tensor spectral index formula that yields near scale-invariance for slow-roll expansion regardless of the source field's original spectrum.