Gauge-invariant perturbations at second order: multiple scalar fields on large scales

Details Gauge-invariant perturbations at second order: multiple scalar fields on large scales Gauge-invariant perturbations at second order: multiple scalar fields on large scales

2005-06-22

arxiv.org/abs/astro-ph/0506532v3

JCAP 0511:005,2005

Astronomy and Astrophysics

Astrophysics

16 pages, no figures, revtex4; v2: sign errors in Eqs. (4.16) and (7.6) corrected, application section added, typos corrected,

Scientific paper

10.1088/1475-7516/2005/11/005

We derive the governing equations for multiple scalar fields minimally coupled to gravity in a flat Friedmann-Robertson-Walker (FRW) background spacetime on large scales. We include scalar perturbations up to second order and write the equations in terms of physically transparent gauge-invariant variables at first and second order. This allows us to write the perturbed Klein-Gordon equation at second order solely in terms of the field fluctuations on flat slices at first and second order.

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