Inflation with General Initial Conditions for Scalar Perturbations

Details Inflation with General Initial Conditions for Scalar Perturbations Inflation with General Initial Conditions for Scalar Perturbations

2011-10-21

arxiv.org/abs/1110.4688v3

JCAP 1202 (2012) 005

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

Updated to match published version, 20 pages

Scientific paper

10.1088/1475-7516/2012/02/005

We explore the possibility of a single field quasi-de Sitter inflationary model with general initial state for primordial fluctuations. In this paper, first we compute the power spectrum and the bispectrum of scalar perturbations with coherent state as the initial state. We find that a large class of coherent states are indistinguishable from the Bunch-Davies vacuum state and hence consistent with the current observations. In case of a more general initial state built over Bunch-Davies vacuum state, we show that the constraints on the initial state from observed power spectrum and local bispectrum are relatively weak and for quasi-de Sitter inflation a large number of initial states are consistent with the current observations. However, renormalizability of the energy-momentum tensor of the fluctuations constraints the initial state further.

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