Structure growth in $f(Q)$ cosmology
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arXiv
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| Format: | Preprint |
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2024
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| author | Sahlu, Shambel de la Cruz-Dombriz, Álvaro Abebe, Amare |
| author_facet | Sahlu, Shambel de la Cruz-Dombriz, Álvaro Abebe, Amare |
| contents | We take into account redshift-space distortion measurements to investigate the growth of cosmological large-scale structures within the framework of modified symmetric teleparallel $f(Q)$ gravity. After comparing the predictions of the $f(Q)$-gravity expansion history with OHD and SNIa Pantheon+ sample datasets and constraining the pertinent cosmological parameters $Ω_{m}$ and $H_0$, together with the exponent $n$ for $f(Q)$ power-law models, we derive the full system of equations governing linear cosmological perturbations to study matter fluctuations using the $1 + 3$ covariant formalism when applied to $f(Q)$ gravity. Thus, we resort to both the usual redshift-space distortion data $fσ_8$ and some recent separate measurements of the growth rate $f$ and the amplitude of matter fluctuations $σ_8$ from the VIPERS and SDSS collaborations to find the best-fit cosmological parameters $Ω_m$, $σ_{8}$ and $n$. We also apply a collective analysis of such growth-structure data together with the aforementioned cosmic expansion measurements, to restrict these parameters through Monte Carlo Markov Chain simulations. determining the statistical significance for the best-fit parameter values through the AIC and BIC Bayesian selection criteria. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2405_07361 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Structure growth in $f(Q)$ cosmology Sahlu, Shambel de la Cruz-Dombriz, Álvaro Abebe, Amare General Relativity and Quantum Cosmology We take into account redshift-space distortion measurements to investigate the growth of cosmological large-scale structures within the framework of modified symmetric teleparallel $f(Q)$ gravity. After comparing the predictions of the $f(Q)$-gravity expansion history with OHD and SNIa Pantheon+ sample datasets and constraining the pertinent cosmological parameters $Ω_{m}$ and $H_0$, together with the exponent $n$ for $f(Q)$ power-law models, we derive the full system of equations governing linear cosmological perturbations to study matter fluctuations using the $1 + 3$ covariant formalism when applied to $f(Q)$ gravity. Thus, we resort to both the usual redshift-space distortion data $fσ_8$ and some recent separate measurements of the growth rate $f$ and the amplitude of matter fluctuations $σ_8$ from the VIPERS and SDSS collaborations to find the best-fit cosmological parameters $Ω_m$, $σ_{8}$ and $n$. We also apply a collective analysis of such growth-structure data together with the aforementioned cosmic expansion measurements, to restrict these parameters through Monte Carlo Markov Chain simulations. determining the statistical significance for the best-fit parameter values through the AIC and BIC Bayesian selection criteria. |
| title | Structure growth in $f(Q)$ cosmology |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2405.07361 |