Symmetry Analysis In Inflationary Cosmology

TL;DR

This paper explores the use of symmetry analysis in inflationary cosmology, providing algebraic solutions for inflaton field equations and demonstrating how to generate new models from existing ones through symmetry transformations.

Contribution

It introduces a symmetry-based framework for solving and constructing inflationary models in cosmology, emphasizing algebraic solutions and model generation.

Findings

Algebraic solutions for inflaton field equations derived

Method to generate new inflationary models from known models

Enhanced understanding of symmetry roles in cosmological inflation

Abstract

We approach the cosmological inflation thought symmetries of differential equations. We consider the general inflaton field in a homogeneous Friedmann--Lema\^{\i}tre--Robertson--Walker spacetime and with the use of conformal transformations we are able to write the generic algebraic solution for the field equations. We put emphasis on the inflationary models and we show how we can construct new inflationary models from already known models by using symmetry transformations.