Power spectrum for perturbations in an inflationary model for a closed universe
General Relativity and Quantum Cosmology
2022-04-05 v2 Cosmology and Nongalactic Astrophysics
Abstract
We derive the power spectrum of primordial quantum fluctuations in an inflationary universe for curvature parameter . This is achieved through a Born--Oppenheimer type of approximation scheme from the Wheeler--DeWitt equation of canonical quantum gravity using gauge-invariant variables. Compared to the flat model, the closed model exhibits a deficit of power at large scales.
Keywords
Cite
@article{arxiv.2111.07835,
title = {Power spectrum for perturbations in an inflationary model for a closed universe},
author = {Claus Kiefer and Tatevik Vardanyan},
journal= {arXiv preprint arXiv:2111.07835},
year = {2022}
}
Comments
20 pages, 1 figure, Invited contribution to a Topical Collection in memory of Prof. T. Padmanabhan, final version