Exact spectrum of scalar field perturbations in a radiation deformed closed de Sitter universe
Sash Sarangi, Koenraad Schalm, Gary Shiu, Jan Pieter van der Schaar
TL;DR
This paper derives the exact power spectrum of scalar perturbations in a closed de Sitter universe with radiation, revealing a radiation-dependent red tilt in the spectrum.
Contribution
It provides an exact solution for scalar field perturbations in a radiation-deformed closed de Sitter universe, connecting curvature, radiation, and the power spectrum.
Findings
Exact power spectrum computed for scalar perturbations.
Presence of radiation induces a red tilt in the spectrum.
Spectrum depends weakly on the amount of radiation.
Abstract
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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