2011
DOI: 10.1111/j.1365-2966.2011.18554.x
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The seed magnetic field generated during recombination

Abstract: Nonlinear dynamics creates vortical currents when the tight-coupling approximation between photons and baryons breaks down around the time of recombination. This generates a magnetic field at second order in cosmological perturbations, whose power spectrum is fixed by standard physics, without the need for any ad hoc assumptions. We present the fully relativistic calculation of the magnetic power spectrum, including the effects of metric perturbations, second-order velocity and the photon anisotropic stress, t… Show more

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Cited by 59 publications
(97 citation statements)
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“…However, mechanisms operating in the radiation dominated era (Harrison 1970;Zakharov & Anikanov 1992) or during recombination (e.g. Berezhiani & Dolgov 2004;Takahashi et al 2008;Fenu et al 2011), requiring some level of vorticity (possibly re-generated at the second order in perturbations), E-mail:jdurrive@ias.u-psud.fr; have also been proposed. Finally, astrophysical processes operating after recombination, capable of generating magnetic fields of cosmological interest have been investigated too.…”
Section: Introductionmentioning
confidence: 99%
“…However, mechanisms operating in the radiation dominated era (Harrison 1970;Zakharov & Anikanov 1992) or during recombination (e.g. Berezhiani & Dolgov 2004;Takahashi et al 2008;Fenu et al 2011), requiring some level of vorticity (possibly re-generated at the second order in perturbations), E-mail:jdurrive@ias.u-psud.fr; have also been proposed. Finally, astrophysical processes operating after recombination, capable of generating magnetic fields of cosmological interest have been investigated too.…”
Section: Introductionmentioning
confidence: 99%
“…Also, one can readily write our key equations in terms of metric variables by adoption of a suitable tetrad as was done in [5].…”
Section: Discussionmentioning
confidence: 99%
“…This mechanism rests on the fact that non-zero vorticity in the pre-recombination photon-baryon plasma can generate weak magnetic fields of about ∼ 10 −25 G. However, vorticity is not a generated mode at first order in perturbation theory and has to be put in as an initial condition. Second order treatments of the pre-recombination plasma in terms of a Kinetic theory description has also been used to generate the required seed fields [5][6][7][8][9][10]. The key idea is a preferential Thompson scattering of photons off free electrons, over the scattering off protons (the scattering off protons is suppressed by a factor (m e /m p )…”
Section: Introductionmentioning
confidence: 99%
“…However, the amplitude of the vector mode generated in these models highly depends on their model parameters. When we expand cosmological perturbations up to the second order, the nonlinear coupling of the first-order scalar modes naturally induces the second-order vector and tensor modes [12][13][14][15][16][17][18][19]. Since the amplitude of the first-order scalar mode is precisely determined by recent observations, the amplitudes of second-order vector and tensor modes can be predicted without introducing additional model parameters.…”
Section: Introductionmentioning
confidence: 99%