Dynamics of Chaotic Inflation with Variable Space Dimension

TL;DR

This paper investigates how a universe with a variable space dimension affects chaotic inflation, showing that the variability prolongs the inflationary epoch compared to a constant dimension universe.

Contribution

It introduces a model of chaotic inflation within a universe with a variable space dimension and analyzes the impact on inflation duration and dynamics.

Findings

Variable space dimension extends the inflationary epoch.

Dynamical solutions for inflaton, space dimension, and scale factor are derived.

Inflation lasts longer in variable dimension scenarios.

Abstract

Within the framework of a model Universe with variable space dimension, we study chaotic inflation with the potential $m^2\phi^2/2$, and calculate the dynamical solutions of the inflaton field, variable space dimension, scale factor, and their interdependence during the inflationary epoch. We show that the characteristic of the variability of the space dimension causes the inflationary epoch in the variable space dimension to last longer than the inflationary epoch in the constant space dimension.