Simplest cosmological model with the scalar field

TL;DR

This paper explores a basic cosmological model involving a massive scalar field, analyzing its trajectory classifications, fractal properties, and comparing numerical results with analytical approximations.

Contribution

It provides a detailed classification of trajectories in a simple scalar field cosmology and discusses fractal structures, extending previous models with new numerical and analytical insights.

Findings

Identification of trajectory classes in the model

Discovery of fractal structures in bouncing trajectories

Agreement between numerical and analytical results

Abstract

We investigate the simplest cosmological model with the massive real scalar non-interacting inflaton field minimally coupled to gravity. The classification of trajectories in closed minisuperspace Friedmann-Robertson-Walker model is presented.The fractal nature of a set of infinitely bounced trajectories is discussed. The results of numerical calculations are compared with those obtained byperturbative analytical calculations around the exactly solvable minisuperspace cosmological model with massless scalar field.