Interacting Dark Matter andq-Deformed Dark Energy Nonminimally Coupled to Gravity

Emre Dil

doi:10.1155/2016/7380372

Abstract

In this paper, we propose a new approach to study the dark sector of the universe by considering the dark energy as an emergingq-deformed bosonic scalar field which is not only interacting with the dark matter, but also nonminimally coupled to gravity, in the framework of standard Einsteinian gravity. In order to analyze the dynamic of the system, we first give the quantum field theoretical description of theq-deformed scalar field dark energy and then construct the action and the dynamical structure of this interacting and nonminimally coupled dark sector. As a second issue, we perform the phase-space analysis of the model to check the reliability of our proposal by searching the stable attractor solutions implying the late-time accelerating expansion phase of the universe.

Highlights

The dark energy is accepted as the effect of causing the latetime accelerated expansion of universe which is experienced by the astrophysical observations such as Supernova Ia [1, 2], large-scale structure [3, 4], the baryon acoustic oscillations [5], and cosmic microwave background radiation [6–9]
These evolutions to the critical points are the attractor solutions of our cosmological model: interacting dark matter and q-deformed dark energy nonminimally coupled to gravity, which imply an expanding universe
We propose that the dark energy is formed of the negative-pressure q-deformed scalar field whose field equation is defined by the q-deformed annihilation and creation operators satisfying the deformed boson algebra in [2], since it is known that the dark energy has a negative pressure— like the deformed bosons—acting as a gravitational repulsion to drive the accelerated expansion of universe

Summary

Introduction

The dark energy is accepted as the effect of causing the latetime accelerated expansion of universe which is experienced by the astrophysical observations such as Supernova Ia [1, 2], large-scale structure [3, 4], the baryon acoustic oscillations [5], and cosmic microwave background radiation [6–9]. Miscellaneous dark models have been proposed to explain a better mechanism for the accelerated expansion of the universe These models include interactions between dark energy, dark matter, and the gravitational field. We take into account the deformed bosons as the scalar field dark energy interacting with the dark matter and nonminimally coupled to gravity. In order to confirm our proposal that the dark energy can be considered as a deformed scalar field, we firstly introduce the dynamics of the interacting and nonminimally coupled dark energy, dark matter, and gravity model in a spatially flat FRW background and perform the phase-space analysis to check whether it will provide the late-time stable attractor solutions implying the accelerated expansion phase of the universe

Dynamics of the Model

Δ2φ2 2

Phase-Space and Stability Analysis

Findings

Conclusion