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

Abstract

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 red-shift $z\sim 1$. 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.

arXiv comment10 pages, 1 table, 4 figures, accepted in EPJ Plus

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• 4D scale-dependent Schwarzschild-AdS/dS black holes: study of shadow and weak deflection angle and greybody bounding
• Shadow and greybody bounding of a regular scale-dependent black hole solution
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• Evolution of matter perturbations in the context of cosmic slowing down