Multifield Cosmological Perturbations at Third Order and the Ekpyrotic Trispectrum

Details Multifield Cosmological Perturbations at Third Order and the Ekpyrotic Trispectrum Multifield Cosmological Perturbations at Third Order and the Ekpyrotic Trispectrum

2009-06-02

arxiv.org/abs/0906.0530v2

Phys.Rev.D80:063503,2009

Physics

High Energy Physics

High Energy Physics - Theory

36 pages, 5 figures, replaced with published version

Scientific paper

10.1103/PhysRevD.80.063503

Using the covariant formalism, we derive the equations of motion for adiabatic and entropy perturbations at third order in perturbation theory for cosmological models involving two scalar fields. We use these equations to calculate the trispectrum of ekpyrotic and cyclic models in which the density perturbations are generated via the entropic mechanism. In these models, the conversion of entropy into curvature perturbations occurs just before the big bang, either during the ekpyrotic phase or during the subsequent kinetic energy dominated phase. In both cases, we find that the non-linearity parameters f_{NL} and g_{NL} combine to leave a very distinct observational imprint.

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