Modelling the Accelerating Universe with $f(Q)$ Gravity: Observational Consistency

Fuente: arXiv
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Auteurs principaux: Narawade, S. A., Shekh, S. H., Mishra, B., Khyllep, Wompherdeiki, Dutta, Jibitesh
Format: Preprint
Publié: 2023
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author Narawade, S. A.
Shekh, S. H.
Mishra, B.
Khyllep, Wompherdeiki
Dutta, Jibitesh
author_facet Narawade, S. A.
Shekh, S. H.
Mishra, B.
Khyllep, Wompherdeiki
Dutta, Jibitesh
contents In this paper, we present a cosmological model within the framework of symmetric teleparallel gravity, focusing on $f(Q)$ gravity, where $Q$ represents the non-metricity scalar. Utilizing cosmological datasets, we derive an accelerating cosmological model by constraining its free parameters. To achieve this, we determine the parametric form of the Hubble parameter using a well-motivated $f(Q)$ function. Remarkably, all obtained values fall within the range suggested by cosmological observations. By employing the best-fit parameters, we calculate the present geometrical parameters and demonstrate the accelerating behaviour of the Universe. Furthermore, we thoroughly examine the evolutionary behaviours of the Universe, noting that our model converges to the $Λ$CDM model at late times. Finally, we investigate the energy conditions and find a violation of the strong energy condition, which could provide a valuable understanding of the nature of dark energy.
format Preprint
id arxiv_https___arxiv_org_abs_2303_01985
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Modelling the Accelerating Universe with $f(Q)$ Gravity: Observational Consistency
Narawade, S. A.
Shekh, S. H.
Mishra, B.
Khyllep, Wompherdeiki
Dutta, Jibitesh
General Relativity and Quantum Cosmology
High Energy Physics - Theory
In this paper, we present a cosmological model within the framework of symmetric teleparallel gravity, focusing on $f(Q)$ gravity, where $Q$ represents the non-metricity scalar. Utilizing cosmological datasets, we derive an accelerating cosmological model by constraining its free parameters. To achieve this, we determine the parametric form of the Hubble parameter using a well-motivated $f(Q)$ function. Remarkably, all obtained values fall within the range suggested by cosmological observations. By employing the best-fit parameters, we calculate the present geometrical parameters and demonstrate the accelerating behaviour of the Universe. Furthermore, we thoroughly examine the evolutionary behaviours of the Universe, noting that our model converges to the $Λ$CDM model at late times. Finally, we investigate the energy conditions and find a violation of the strong energy condition, which could provide a valuable understanding of the nature of dark energy.
title Modelling the Accelerating Universe with $f(Q)$ Gravity: Observational Consistency
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2303.01985