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Phys. Rev. D 69, 063006 (2004) [20 pages]

Cosmic microwave background and helical magnetic fields: The tensor mode

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Chiara Caprini*
Department of Astrophysics, Denys Wilkinson Building, Keble road, Oxford OX1 3RH, United Kingdom

Ruth Durrer
Département de Physique Théorique, Université de Genève, 24 quai Ernest Ansermet, CH-1211 Genève 4, Switzerland

Tina Kahniashvili
Department of Physics and Astronomy, Rutgers NJ State University, 136, Frelinghuysen RD., Piscataway, New Jersey 08854-8019, USA
Center for Plasma Astrophysics, Abastumani Astrophysical Observatory, 2A, Kazbegi ave., Tbilisi, 380060, Georgia

Received 25 April 2003; revised 4 November 2003; published 24 March 2004

We study the effect of a 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.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.69.063006
DOI:
10.1103/PhysRevD.69.063006
PACS:
98.70.Vc, 98.62.En, 98.80.Cq

*Electronic address: caprini@astro.ox.ac.uk

Electronic address: ruth.durrer@physics.unige.ch

Electronic address: tinatin@amorgos.unige.ch