Cosmological implications of non-minimally coupled f(Q) gravity

TL;DR

This paper explores a modified gravity model based on non-metricity Q, analyzing its potential to explain late-time cosmic acceleration through dynamical systems and stability analysis, offering an alternative to the standard b1CDM model.

Contribution

It introduces a specific f(Q) gravity model with a linear and power-law term, and analyzes its cosmological implications using dynamical systems methods.

Findings

The model exhibits stable late-time acceleration.

Feasible solutions align with observational data.

f(Q) gravity can serve as an alternative to b1CDM.

Abstract

We experience some challenges in general gravitational theory owing to Einstein to explain late time acceleration of universe. To address this issue, geometric components of gravity have been modified in quite a few occasions to have a more general structure with some freedom. One such approach is to change the geometric components of gravity where gravitational interaction is denoted by Q,Q being the non-metricity. In our work, we have considered symmetric teleparallel gravity i.e, modified the geometry with the help of non-metricity Q or f(Q) gravity. We have considered a specific form of f(Q) which is nothing but the linear combination of Q and \alpha Q^{n}, n\neq 1, where Q is coupled with Lagrangian matter. Forming the autonomous system from governing equations and then solving it, we have tried to analyze the nature of universe using dynamical system analysis. We have studied the behavior of the universe under several circumstances. Then, we have studied the stability around critical points and considering the recent observational data available for some cosmological parameters, feasible solutions are noted which depict late time acceleration. We can see that f(Q) gravity model can be considered as an alternative model to \lambda CDM model.