Symmetries leading to inflation

TL;DR

This paper identifies symmetries in cosmological models that enable the generation of new solutions and explores how scalar fields influence inflation and the stability of Bianchi V solutions.

Contribution

It introduces a general symmetry transformation for cosmological equations and demonstrates its application in understanding inflation and solution stability.

Findings

Symmetries can generate new cosmological models from existing ones.

Scalar fields significantly impact the occurrence of inflation.

Bianchi V power law solutions' existence and stability are analyzed.

Abstract

We present here the general transformation that leaves unchanged the form of the field equations for perfect fluid Friedmann--Robertson--Walker and Bianchi V cosmologies. The symmetries found can be used as algorithms for generating new cosmological models from existing ones. A particular case of the general transformation is used to illustrate the crucial role played by the number of scalar fields in the occurrence of inflation. Related to this, we also study the existence and stability of Bianchi V power law solutions.