https://doi.org/10.1140/epjc/s10052-021-09136-2
Regular Article - Theoretical Physics
Logarithmic corrections to Newtonian gravity and large scale structure
1
Department of Physics “E. Pancini”, University of Naples “Federico II”, Naples, Italy
2
INFN Sez. di Napoli, Compl. Univ. di Monte S. Angelo, Edificio G, Via Cinthia, 80126, Naples, Italy
3
Scuola Superiore Meridionale, Largo San Marcellino 10, 80138, Naples, Italy
4
Laboratory for Theoretical Cosmology, Tomsk State University of Control Systems and Radioelectronics (TUSUR), 634050, Tomsk, Russia
5
Irving K. Barber School of Arts and Sciences, University of British Columbia-Okanagan, 3333 University Way, V1V 1V7, Kelowna, BC, Canada
6
Department of Physics and Astronomy, University of Lethbridge, T1K 3M4, Lethbridge, AB, Canada
7
Canadian Quantum Research Center, 204-3002 32 Ave, V1T 2L7, Vernon, BC, Canada
8
Department of Physics, Government Degree College Tangmarg, 193402, Kashmir, India
9
Visiting Associate, IUCCA, 41100, Pune, India
10
School of Physics, Damghan University, 3671641167, Damghan, Iran
11
Institute of Physics, University of Szczecin, Wielkopolska 15, 70-451, Szczecin, Poland
Received:
18
February
2021
Accepted:
10
April
2021
Published online:
23
April
2021
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.
© The Author(s) 2021
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