The Darboux Transformation and Exactly Solvable Cosmological Models

TL;DR

This paper introduces a straightforward method for creating exactly solvable cosmological models with inflation and exit, avoiding parameter fitting, and discusses issues related to weak energy condition violations.

Contribution

A novel, parameter-free approach for constructing exactly solvable inflationary cosmological models is proposed.

Findings

Method successfully constructs solvable models with inflation and exit

Identifies problems with solutions violating the weak energy condition

Provides insights into the physical viability of such models

Abstract

We present a simple and effective method for constructing exactly solvable cosmological models containing inflation with exit. This method does not involve any parameter fitting. We discuss the problems arising with solutions that violate the weak energy condition.