Exact Inflationary Models and Consequences

TL;DR

This paper presents new exact inflationary solutions in scalar field theory coupled to gravity, avoiding slow-roll approximation, resulting in nonsingular scale factors and smooth transition to deceleration and matter-dominated phases.

Contribution

It introduces novel exact inflationary models with nonsingular behavior and smooth phase transitions, expanding beyond traditional slow-roll approximations.

Findings

Scale factors are completely nonsingular.

Smooth transition from inflation to deceleration.

Asymptotic transition to matter-dominated universe.

Abstract

New exact inflationary solutions are presented in the scalar field theory, minimally coupled to gravity, with a potential term. No use is made of the slow rollover approximation. The scale factors are completely nonsingular and the transition to the deccelerating phase is smooth. Moreover, in one of these models, asymptotically one has transition to the matter dominated Universe.