Single field inflationary models with non-compact Kaluza-Klein theory

TL;DR

This paper explores a semiclassical approach to inflationary models derived from non-compact Kaluza-Klein theory, proposing a 5D geodesic framework that influences the effective 4D cosmological background.

Contribution

It introduces a novel semiclassical method for inflation within non-compact Kaluza-Klein theory, avoiding the cylinder condition and linking 5D geodesics to 4D cosmology.

Findings

Universe evolution described by 5D geodesic trajectories

Effective 4D metric as a hypersurface at constant fifth dimension

Provides a new perspective on early universe dynamics

Abstract

We discuss a semiclassical treatment to inflationary models from Kaluza-Klein theory without the cylinder condition. We conclude that the evolution of the early universe could be described by a geodesic trayectory of a cosmological 5D metric here proposed, so that the effective 4D FRW background metric should be a hypersurface on a constant fifth dimension.