Eur. Phys. J. Plus (2021) 136: 622
https://doi.org/10.1140/epjp/s13360-021-01583-w

Regular Article

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

¹ Centro de Astrofísica e Gravitação-CENTRA, Instituto Superior Técnico-IST, Universidade de Lisboa-UL, Av. Rovisco Pais, 1049-001, Lisboa, Portugal
² Sede Esmeralda, Universidad de Tarapacá, Avda. Luis Emilio Recabarren 2477, Iquique, Chile

^b aerinconr@academicos.uta.cl

Received: 4 February 2021
Accepted: 18 May 2021
Published online: 3 June 2021

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 CDM and available observations as far as the value of the rms density fluctuation, , is concerned. It has been pointed out that this tension may be alleviated in alternative theories in which gravity is weaker at redshift . We study the evolution of density perturbations for non-relativistic matter on top of a spatially flat FLRW Universe, and we compute the combination 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 that best fits the data.