Origin of FRW cosmology in slow-roll inflation from noncompact Kaluza-Klein theory

TL;DR

This paper explores how noncompact Kaluza-Klein theory can explain the origin of Friedmann-Robertson-Walker cosmology during slow-roll inflation, emphasizing the role of the fifth dimension in universe evolution and quantum fluctuations.

Contribution

It introduces a formalism for deriving slow-roll inflation from noncompact Kaluza-Klein theory without the cylinder condition, analyzing specific polynomial and hyperbolic potentials.

Findings

Fifth coordinate evolution influences early universe dynamics.

The formalism links extra dimension behavior to inflationary quantum fluctuations.

Examples demonstrate the impact of different potentials on cosmological evolution.

Abstract

Using a recently introduced formalism we discuss slow-roll inflaton from Kaluza-Klein theory without the cylinder condition. In particular, some examples corresponding to polynomic and hyperbolic $\phi$-potentials are studied. We find that the evolution of the fifth coordinate should be determinant for both, the evolution of the early inflationary universe and the quantum fluctuations.