Constraining the modified symmetric teleparallel gravity using cosmological data

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Autori principali: Sahlu, Shambel, Abebe, Amare
Natura: Preprint
Pubblicazione: 2024
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author Sahlu, Shambel
Abebe, Amare
author_facet Sahlu, Shambel
Abebe, Amare
contents This paper examines the late-time accelerating Universe and the formation of large-scale structures within the modified symmetric teleparallel gravity framework, specifically using the $f(Q)$-gravity model, in light of recent cosmological data. After reviewing the background history of the Universe, and the linear cosmological perturbations, we consider the toy model $F(Q) = α\sqrt{Q}+β$ ( where $Q$ represents nonmetricity, $α$ and $β$ are model parameters) for further analysis. To evaluate the cosmological viability of this model, we utilize 57 Observational Hubble Data (OHD) points, 1048 supernovae distance modulus measurements (SNIa), their combined analysis (OHD+SNIa), 14 growth rate data points (f-data), and 30 redshift-space distortions (f$σ_8$) datasets. Through a detailed statistical analysis, the comparison between our model and $Λ$CDM has been conducted after we compute the best-fit values through the Markov Chain Monte Carlo (MCMC) simulations. Based on the results, we obtain the Hubble parameter, $H_0 = 69.20^{+4.40}_{{-}2.10}$ and the amplitude of the matter power spectrum normalization $σ_8 = 0.827^{+0.03}_{{-}0.01}$. These values suggest that our model holds significant promise in addressing the cosmological tensions.
format Preprint
id arxiv_https___arxiv_org_abs_2412_20831
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Constraining the modified symmetric teleparallel gravity using cosmological data
Sahlu, Shambel
Abebe, Amare
General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
This paper examines the late-time accelerating Universe and the formation of large-scale structures within the modified symmetric teleparallel gravity framework, specifically using the $f(Q)$-gravity model, in light of recent cosmological data. After reviewing the background history of the Universe, and the linear cosmological perturbations, we consider the toy model $F(Q) = α\sqrt{Q}+β$ ( where $Q$ represents nonmetricity, $α$ and $β$ are model parameters) for further analysis. To evaluate the cosmological viability of this model, we utilize 57 Observational Hubble Data (OHD) points, 1048 supernovae distance modulus measurements (SNIa), their combined analysis (OHD+SNIa), 14 growth rate data points (f-data), and 30 redshift-space distortions (f$σ_8$) datasets. Through a detailed statistical analysis, the comparison between our model and $Λ$CDM has been conducted after we compute the best-fit values through the Markov Chain Monte Carlo (MCMC) simulations. Based on the results, we obtain the Hubble parameter, $H_0 = 69.20^{+4.40}_{{-}2.10}$ and the amplitude of the matter power spectrum normalization $σ_8 = 0.827^{+0.03}_{{-}0.01}$. These values suggest that our model holds significant promise in addressing the cosmological tensions.
title Constraining the modified symmetric teleparallel gravity using cosmological data
topic General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
url https://arxiv.org/abs/2412.20831