Growth of structures and redshift-space distortion data in scale-dependent gravity

This study is devoted to the implications of scale-dependent gravity in Cosmology. Redshift-space distortion data indicate that there is a tension between Lambda CDM and available observations as far as the value of the rms density fluctuation, sigma(8), is concerned. It has been pointed out that this tension may be alleviated in alternative theories in which gravity is weaker at redshift z similar to 1. We study the evolution of density perturbations for non-relativistic matter on top of a spatially flat FLRW Universe, and we compute the combination A = f sigma(8) in the framework of scale-dependent gravity, where both Newton's constant and the cosmological constant are allowed to vary with time. Upon comparison between available observational data (supernovae data as well as redshift-space distortion data) and theoretical predictions of the model, we determine the numerical value of sigma(8) that best fits the data.

Automated summary

This study explores the implications of scale-dependent gravity in Cosmology, particularly focusing on the evolution of density perturbations and determining the best-fitting numerical value of sigma(8) by comparing observational data and theoretical predictions.