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arXiv · 1106.5840

Non-Gaussianities in the Cosmological Perturbation Spectrum due to Primordial Anisotropy

Anindya Dey·Sonia Paban
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Abstract

We investigate possible signatures of a pre-inflationary anisotropic phase in two-point and three-point correlation functions of the curvature perturbation for high-momentum modes which exit the horizon after isotropization. In this momentum regime, the early time dynamics admits a WKB description and the late time dynamics can be described in terms of a non-Bunch Davies vacuum state which encodes the information of initial anisotropy in the background spacetime. We compute the bi-spectrum for curvature perturbation in a canonical single-field action with and without higher derivative operators. We show that the bi-spectrum at late times, in either case, is enhanced for a flattened triangle configuration as well as a squeezed triangle configuration and compute the corresponding $f_{NL}$ parameters. The angular dependence and the particular momentum dependence of the $f_{NL}$ parameter appear as distinctive features of background anisotropy at early times.

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Anindya Dey, Sonia Paban. 2012-04-26. Non-Gaussianities in the Cosmological Perturbation Spectrum due to Primordial Anisotropy. https://doi.org/10.1088/1475-7516%2F2012%2F04%2F039

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