# Quintessence-like features in the late-time cosmological evolution of $f(Q)$ symmetric teleparallel gravity

**Authors:** N. Myrzakulov, M. Koussour, A. Mussatayeva  
**arXiv:** [2308.15101](https://arxiv.org/abs/2308.15101)  
**Date:** 2023-08-29  
**Summary page:** https://www.summarizepaper.com/en/arxiv-id/2308.15101v1/

## Key points

- Investigate cosmological history within the framework of modified $f(Q)$ gravity
- Propose that gravitational force is described by a non-metricity scalar
- Employ parametrization scheme for Hubble parameter to obtain exact solution to field equations in $f(Q)$ cosmology
- Constrain model using external datasets: 57 data points from Hubble dataset, 1048 data points from Supernova (SN) dataset, and 6 data points from Baryon Acoustic Oscillations (BAO) dataset
- Determine best-fit values for model parameters involved in parameterization scheme
- Analyze cosmic evolution of various cosmological parameters: deceleration parameter, energy density, equation of state (EoS) parameter, and other geometrical parameters with respect to redshift
- Discuss several cosmological tests and diagnostic analyses demonstrating adequate description of late-time cosmic evolution without invoking dark energy
- Contribute to understanding of cosmological history in modified $f(Q)$ gravity framework
- Provide insights into alternative theories of gravity not requiring dark energy for explaining late-time cosmic evolution.

## Summary

In this study, authors N. Myrzakulov, M. Koussour, and A. Mussatayeva investigate the cosmological history within the framework of modified $f(Q)$ gravity - an alternative theory of gravity proposing that the gravitational force is described by a non-metricity scalar. The researchers employ a parametrization scheme for the Hubble parameter to obtain an exact solution to the field equations in $f(Q)$ cosmology and constrain their model using external datasets including 57 data points from the Hubble dataset, 1048 data points from the Supernova (SN) dataset, and six data points from the Baryon Acoustic Oscillations (BAO) dataset. By analyzing these datasets they are able to determine best-fit values for the model parameters involved in their parameterization scheme. The cosmic evolution of various cosmological parameters is analyzed in this study - such as deceleration parameter which exhibits expected behavior in late-time cosmology and changes its signature with redshift; energy density; equation of state (EoS) parameter; and other geometrical parameters with respect to redshift. Furthermore, several cosmological tests and diagnostic analyses are discussed in this study demonstrating that late-time cosmic evolution can be adequately described without invoking dark energy by employing a parametrization scheme in modified gravity. Overall, this research contributes to our understanding of cosmological history within the framework of modified $f(Q)$ gravity and provides insights into alternative theories of gravity that do not require dark energy to explain late-time cosmic evolution.