Remarks on dimensional reduction of multidimensional cosmological models

TL;DR

This paper examines how different scalings affect the dimensional reduction of multidimensional cosmological models, highlighting issues with incorrect gauging of the gravitational constant and its impact on physical parameters.

Contribution

It demonstrates that improper gauging of the gravitational constant leads to inaccuracies in rescaling the cosmological constant and gravexciton/radion masses during dimensional reduction.

Findings

Incorrect gauging causes non-correct rescaling of key parameters

Relationship between higher and lower dimensional gravitational constants is clarified

Dynamic variation of compactified space components affects effective theories

Abstract

Multidimensional cosmological models with factorizable geometry and their dimensional reduction to effective four-dimensional theories are analyzed on sensitivity to different scalings. It is shown that a non-correct gauging of the effective four-dimensional gravitational constant within the dimensional reduction results in a non-correct rescaling of the cosmological constant and the gravexciton/radion masses. The relationship between the effective gravitational constants of theories with different dimensions is discussed for setups where the lower dimensional theory results via dimensional reduction from the higher dimensional one and where the compactified space components vary dynamically.