New Solutions of the Inflationary Flow Equations

TL;DR

This paper introduces a novel method for solving inflationary flow equations that avoids hierarchy truncation, enabling analysis of a broader class of inflation models while maintaining practical usability.

Contribution

It presents a new approach to solving inflationary flow equations without hierarchy truncation, expanding the range of models analyzed.

Findings

Broader class of inflation models analyzed

Method retains practical usability

Avoids limitations of hierarchy truncation

Abstract

The inflationary flow equations are a frequently used method of surveying the space of inflationary models. In these applications the infinite hierarchy of differential equations is truncated in a way which has been shown to be equivalent to restricting the set of models considered to those characterized by polynomial inflaton potentials. This paper explores a different method of solving the flow equations, which does not truncate the hierarchy and in consequence covers a much wider class of models while retaining the practical usability of the standard approach.