A note on second-order perturbations of non-canonical scalar fields

Details A note on second-order perturbations of non-canonical scalar fields A note on second-order perturbations of non-canonical scalar fields

2009-05-26

arxiv.org/abs/0905.4184v3

JCAP 1003:010,2010

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

8 page, Revtex 4. Clarifications added, results unchanged; [v3] 10 pages, matches with the published version, Discussion for s

Scientific paper

10.1088/1475-7516/2010/03/010

We study second-order perturbations for a general non-canonical scalar field, minimally coupled to gravity, on the unperturbed FRW background, where metric fluctuations are neglected a priori. By employing different approaches to cosmological perturbation theory, we show that, even in this simplified set-up, the second-order perturbations to the stress tensor, the energy density and the pressure display potential instabilities, which are not present at linear order. The conditions on the Lagrangian under which these instabilities take place are provided. We also discuss briefly the significance of our analysis in light of the possible linearization instability of these fields about the FRW background.

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