Logarithmic corrections to Newtonian gravity and Large Scale Structure

TL;DR

This paper investigates how logarithmic corrections to Newtonian gravity, possibly from nonlocal gravity, affect large-scale structure formation and galaxy clustering, comparing theoretical predictions with observational data.

Contribution

It introduces the impact of logarithmic gravitational corrections on cosmic structure formation and assesses their observational viability at galactic and larger scales.

Findings

Logarithmic corrections can influence galaxy clustering at galactic scales.

Observational data suggests a characteristic scale where corrections may be relevant.

Statistical evidence for corrections at larger scales remains inconclusive.

Abstract

Effects from nonstandard corrections to Newtonian gravity, at large scale, can be investigated using the cosmological structure formation. In particular, it is possible to show if and how a logarithmic correction (as that induced from nonlocal gravity) modifies the clustering properties of galaxies and of clusters of galaxies. The thermodynamics of such systems can be used to obtain important information about the effects of such modification on clustering. We will compare its effects with observational data and it will be demonstrated that the observations seem to point to a characteristic scale where such a logarithmic correction might be in play at galactic scales. However, at larger scales such statistical inferences are much weaker, so that a fully reliable statistical evidence for this kind of corrections cannot be stated without further investigations and the use of more varied and precise cosmological and astrophysical probes.