Gravitational excitons from extra dimensions

TL;DR

This paper investigates multidimensional cosmological models with extra dimensions, showing that small excitations of internal space scale factors behave as massive scalar fields, and estimates their masses under certain conditions.

Contribution

It provides a detailed analysis of gravitational excitons arising from extra dimensions and estimates their masses in specific multidimensional models.

Findings

Masses of gravitational excitons are estimated for particular model parameters.

Small excitations near potential minima behave as massive scalar fields.

Conditions for minima of the effective potential are identified.

Abstract

Inhomogeneous multidimensional cosmological models with a higher dimensional space-time manifold are investigated under dimensional reduction. In the Einstein conformal frame, small excitations of the scale factors of the internal spaces near minima of an effective potential have a form of massive scalar fields in the external space-time. Parameters of models which ensure minima of the effective potentials are obtained for particular cases and masses of gravitational excitons are estimated.