New exact solutions in standard inflationary models

TL;DR

This paper derives new exact solutions for standard inflationary models with self-interacting scalar fields, expanding the set of known solutions and comparing different inflationary scenarios.

Contribution

It introduces a new class of exact solutions in inflationary models with arbitrary potential shapes, including power law and exponential inflation.

Findings

New exact solutions for inflationary models with arbitrary potentials

Comparison between power law and exponential inflation solutions

Enhanced understanding of scalar field dynamics in early universe

Abstract

The exact solutions in the standard inflationary model based on the self-interacting scalar field minimally coupled to gravity are considered. The shape's freedom of the self-interacting potential $V(\phi)$ is postulated to obtain a new set of the exact solutions in the framework of Friedmann-Robertson-Walker Universes. The general solution was found in the case of power law inflation. We obtained new solutions and compared them with obtained ones earlir for the exponential type inflation.