Structure growth in f (Q) 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 datasets and constraining the pertinent cosmological parameters ₌ and H₀, 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 f₈ and some recent separate measurements of the growth rate f and the amplitude of matter fluctuations ₈ from the VIPERS and SDSS collaborations to find the best-fit cosmological parameters ₘ, 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.