For five phantom-capable dark-energy parameterizations, the growth index at redshift zero is about 0.54 with a negative slope, and the f-sigma-8 combination lies below the Lambda-CDM prediction over most of the redshift range shown.
Growth of structures and redshift-space distortion data in scale-dependent gravity
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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.
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gr-qc 1years
2026 1verdicts
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Evolution of matter perturbations in the context of cosmic slowing down
For five phantom-capable dark-energy parameterizations, the growth index at redshift zero is about 0.54 with a negative slope, and the f-sigma-8 combination lies below the Lambda-CDM prediction over most of the redshift range shown.