Metric perturbation from inflationary magnetic field and generic bound on inflation models

Details Metric perturbation from inflationary magnetic field and generic bound on inflation models Metric perturbation from inflationary magnetic field and generic bound on inflation models

2012-04-18

arxiv.org/abs/1204.3976v1

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

14 pages

Scientific paper

There is an observational indication of extragalactic magnetic fields. No known astrophysical process can explain the origin of such large scale magnetic fields, which motivates us to look for their origin in primordial inflation. By solving the linearized Einstein equations, we study metric perturbations sourced by magnetic fields that are produced during inflation. This leads to a simple but robust bound on the inflation models by requiring that the induced metric perturbation should not exceed the observed value 10^-5. In case of the standard single field inflation model, the bound can be converted into a lower bound on the Hubble parameter during inflation.

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