Observational Constraints on New Exact Inflationary Scalar-field Solutions

TL;DR

This paper introduces an algorithm to generate and analyze new inflationary scalar field solutions in cosmology, comparing them with observational data to constrain viable models.

Contribution

It presents a novel solution-generating algorithm for scalar field equations and applies it to derive and test new inflationary models against observational data.

Findings

Derived new inflationary solutions with various potentials.

Compared models with Planck 2015 data to constrain parameters.

Identified models compatible and incompatible with observations.

Abstract

An algorithm is used to generate new solutions of the scalar field equations in homogeneous and isotropic universes. Solutions can be found for pure scalar fields with various potentials in the absence and presence of spatial curvature and other perfect fluids. A series of generalisations of the Chaplygin gas and bulk viscous cosmological solutions for inflationary universes are found. Furthermore other closed-form solutions which provide inflationary universes are presented. We also show how the Hubble slow-roll parameters can be calculated using the solution algorithm and we compare these inflationary solutions with the observational data provided by the Planck 2015 collaboration in order to constraint and rule out some of these models.