Dark Matter and Dark Energy from a Kaluza-Klein inspired Brans-Dicke Gravity with Barotropic Fluid

TL;DR

This paper explores a Kaluza-Klein inspired Brans-Dicke gravity model with barotropic matter, revealing critical points that can explain dark matter, dark energy, and phantom dark energy through analytical solutions and dynamical system analysis.

Contribution

It introduces a novel Kaluza-Klein inspired Brans-Dicke model with scalar and gauge fields, analyzing its critical points for cosmological implications.

Findings

Critical points indicate potential explanations for dark matter and dark energy.

Analytical solutions demonstrate the model's capability to describe late-time cosmic acceleration.

Dynamical analysis reveals conditions for phantom dark energy presence.

Abstract

We study the Kaluza-Klein inspired Brans-Dicke model with barotropic matter. Following from our previous work, the traditional Kaluza-Klein gravity action is introduced with an additional scalar field and 2 gauge fields. The compactification process results in a Brans-Dicke model with a dilaton coupled to the tower of scalar fields whereas a gauge field from 5-dimensional metric forms a set of mutually orthogonal vectors with 2 additional gauge fields. The barotropic matter is then introduced to complete a realistic set up. To demonstrate the analytical solutions of the model, we consider the case in which only 2 lowest modes becoming relevant for physics at low scale. After derivation, equations of motion and Einstein field equations form a set of autonomous system. The dynamical system is analysed to obtain various critical points. Interestingly, by only inclusion of barotropic matter, the model provides us the critical points which capable of determining the presences of dark matter, dark energy and phantom dark energy.