Extra force and extra mass from noncompact Kaluza-Klein theory in a cosmological model

TL;DR

This paper investigates how extra dimensions in a noncompact Kaluza-Klein cosmological model influence the inertial mass and gravitational effects, revealing geometrical origins and antigravitational phenomena related to the fifth dimension's dynamics.

Contribution

It introduces a Hamilton-Jacobi approach to analyze extra force and mass in a noncompact Kaluza-Klein framework, highlighting the geometrical origin of mass and antigravitational effects.

Findings

Inertial mass has a geometrical origin.

Antigravitational effects arise from fifth coordinate motion.

Extra force and mass are linked to the noncompact extra dimension.

Abstract

Using the Hamilton-Jacobi formalism, we study extra force and extra mass in a recently introduced noncompact Kaluza-Klein cosmological model. We examine the inertial 4D mass $m_0$ of the inflaton field on a 4D FRW bulk in two examples. We find that $m_0$ has a geometrical origin and antigravitational effects on a non inertial 4D bulk should be a consequence of the motion of the fifth coordinate with respect to the 4D bulk.