Journal
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS
Volume -, Issue 11, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/1475-7516/2012/11/060
Keywords
inflation; cosmological perturbation theory
Funding
- STFC studentship
- Science and Technology Facilities Council [ST/I000976/1]
- Leverhulme Trust
- JSPS
- Royal Society
- National Science Foundation [1066293]
- STFC [ST/F007566/1, ST/I000976/1, ST/J001546/1] Funding Source: UKRI
- Science and Technology Facilities Council [ST/I000976/1, ST/J001546/1] Funding Source: researchfish
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We compute the covariant three-point function near horizon-crossing for a system of slowly-rolling scalar fields during an inflationary epoch, allowing for an arbitrary field-space metric.We show explicitly how to compute its subsequent evolution using a covariantized version of the separate universe or 'f delta N' expansion, which must be augmented by terms measuring curvature of the field-space manifold, and give the nonlinear gauge transformation to the comoving curvature perturbation. Nonlinearities induced by the field-space curvature terms are a new and potentially significant source of non-Gaussianity. We show how inflationary models with non-minimal coupling to the spacetime Ricci scalar can be accommodated within this framework. This yields a simple toolkit allowing the bispectrum to be computed in models with non-negligible field-space curvature.
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