Logarithmic corrections to Newtonian gravity and large scale structure

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.

Visible Energy Alternative to Dark Energy

“…Another aspect of non-local gravity has been studied in Ref. [21], where the authors have studied the large-scale structure. It has been shown that the logarithmic correction modifies the gravitational partition function and impacts on properties of the gravitational clustering.…”

Thermodynamics of galaxy clusters in modified Newtonian potential

“…The changes to the gravity law have prompted the study of the statistical and thermodynamic properties of galaxy clusters in light of the modified potentials [5][6][7][8][9]. For instance, the effect of quantum correction on the thermodynamics of galaxy clusters was studied in [10] and the effect of power-law modification to Newtonian potential on the spatial distribution function has been studied in [11].…”