Scalar field cosmology: its non-linear Schr\"{o}dinger-type formulation

TL;DR

This paper reviews a novel non-linear Schr"{o}dinger-type formulation of scalar field cosmology, which models dark energy and inflation, offering new mathematical insights into FRLW cosmological systems with barotropic fluids.

Contribution

It introduces and reviews the non-linear Schr"{o}dinger (NLS) formulation of scalar field cosmology, extending the standard Friedmann approach for systems with barotropic fluid density.

Findings

The NLS formulation provides a new mathematical framework for scalar field cosmology.

It is suitable for systems with non-negligible barotropic fluid density.

The formulation offers potential advantages for analyzing dark energy and inflation models.

Abstract

Scalar field cosmology is a model for dark energy and inflation. It has been recently found that the standard Friedmann formulation of the scalar field cosmology can be expressed in a non-linear Schr\"{o}dinger-type equation. The new mathematical formulation is hence called non-linear Schr\"{o}dinger (NLS) formulation which is suitable for a FRLW cosmological system with non-negligible barotropic fluid density. Its major features are reviewed here.