Abstract In the present work, we incorporate redshift space distortion measurement to investigate the growth of large scale structure within the framework of multi-fluid cosmology in the context of f (G) gravity. Using 3 different f (G) gravity models, where f (G) is the function of Gauss–Bonnet invariant, we compare the predictions of f (G) gravity expansion history—through the Friedmann equation with Hubble data, BAO data sets and constrain models parameters such as ₌ Ω m and H₀ H 0. Within the context of multi-fluid cosmology in f (G) gravity, we obtain the structure growth equation. This equation is then combined with ₈ σ 8 to get f ₈ f σ 8 predictions—which is compared with redshift space distortion data to constrain models parameters to obtain best-fit values including ₈ σ 8. This involves performing a Markov Chain Monte Carlo (MCMC) analysis for these specific forms of f (G) models. we also perform a statistical analysis incorporating the Akaike Information Criterion (AIC), the Bayesian Information Criterion (BIC), to assess the goodess-of-fit of the considered models.
Dhankar et al. (Mon,) studied this question.