Tilted non-spatially-flat inflation

TL;DR

This paper develops new non-flat inflation models with non-linear potentials, producing tilted primordial power spectra that differ from previous untilted models, thereby offering more accurate tools for cosmological data analysis.

Contribution

It introduces non-linear inflaton potentials for non-flat inflation models and computes their tilted power spectra, advancing beyond prior models with linear slopes and untilted spectra.

Findings

Derived tilted power spectra for non-flat inflation models.

Demonstrated differences from previously used untilted spectra.

Provided new tools for analyzing cosmological data in non-flat universes.

Abstract

We construct non-linear inflaton potential energy densities that describe not-necessarily very-slowly-rolling closed and open inflation models, and compute tilted primordial spatial inhomogeneity power spectra that follow from quantum mechanical fluctuations during inflation in these models. Earlier non-flat inflation model power spectra computations assumed an inflaton potential energy density with a linear slope that resulted in very-slow-roll during inflation and untilted power spectra. These new tilted power spectra differ from those that have previously been used to study cosmological data in non-flat cosmological models.