Exact spectrum of scalar field perturbations in a radiation deformed closed de Sitter universe

Details Exact spectrum of scalar field perturbations in a radiation deformed closed de Sitter universe Exact spectrum of scalar field perturbations in a radiation deformed closed de Sitter universe

2006-11-25

arxiv.org/abs/hep-th/0611277v1

JCAP 0703:002,2007

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, 2 figures

Scientific paper

10.1088/1475-7516/2007/03/002

We observe that the equation of motion for a free scalar field in a closed
universe with radiation and a positive cosmological constant is given by
Lam\'e's equation. Computing the exact power spectrum of scalar field
perturbations, the presence of both curvature and radiation produces a red tilt
weakly dependent on the amount of radiation.

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