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 show if and how a logarithmic correction (as that induced nonlocal gravity) modifies clustering properties of galaxies clusters galaxies. The thermodynamics such systems used obtain important information about effects modification on clustering. We will compare its with observational data demonstrated observations seem point characteristic scale where might in play galactic scales. However, larger scales statistical inferences are much weaker, so fully reliable evidence for this kind cannot stated without further investigations use more varied precise astrophysical probes.