Cosmological model due to dimensional reduction of higher-dimensional massive gravity theory

TL;DR

This paper derives a four-dimensional cosmological model from higher-dimensional massive gravity via dimensional reduction, showing it can explain late-time universe expansion and stabilize extra dimensions.

Contribution

It introduces a new cosmological model from dimensional reduction of higher-dimensional massive gravity, combining features of mass-varying and quasi-dilaton massive gravity theories.

Findings

Late-time universe expansion driven by graviton mass.

Stable late-time expansion as a fixed point in parameter space.

Mechanism for stabilizing extra dimensions.

Abstract

We investigate a cosmological model resulting from a dimensional reduction of the higher-dimensional dRGT massive gravity. By using the Kaluza-Klein dimensional reduction, we obtain an effective four-dimensional massive gravity theory with a scalar field. It is found that the resulting theory corresponds to a combined description of mass-varying massive gravity and quasi-dilaton massive gravity. By analyzing the cosmological solution, we found that it is possible to obtain the late-time expansion of the universe due to the graviton mass. By using a dynamical system approach, we found regions of model parameters for which the late-time expansion of the universe is a stable fixed point. Moreover, this also provides a mechanism to stabilize the extra dimensions.