A Kaluza-Klein Inspired Brans-Dicke Gravity with Dark Matter and Dark Energy Model

TL;DR

This paper introduces a Kaluza-Klein inspired Brans-Dicke gravity model that incorporates dark matter and dark energy, analyzing its dynamics and critical points using a dynamical system approach.

Contribution

It presents a novel 5D gravity model with scalar and gauge fields that reduces to a 4D framework including dark components, and explores its cosmological phases.

Findings

The model exhibits both dark matter and dark energy phases.

Presence of gauge fields influences the cosmological behavior.

Critical point analysis reveals conditions for dark energy dominance.

Abstract

We propose the Kaluza-Klein inspired Brans-Dicke gravity model containing possible existence of dark matter and dark energy. The massive scalar field coupled with gravity in 5 dimensional spacetime can be reduced to 4 dimensional gravity along with the dilaton $\phi$, gauge fields $A_{\mu}$, and the tower of scalar fields $\eta_n$. Two additional gauge fields are introduced to form "Cosmic Triad" vector field scenario. We then use the dynamical system approach to analyze the critical points and their corresponding physical parameters. We found that in the case where only the zero mode of the Kaluza-Klein scalar is decoupled, the system contains both dark matter and dark energy phase depending on the mass parameter with the presence of the gauge field.