https://doi.org/10.1140/epjc/s10052-024-12741-6
Regular Article - Theoretical Physics
Testing Yukawa cosmology at the Milky Way and M31 galactic scales
1
Scuola Superiore Meridionale, Largo San Marcellino 10, 80138, Naples, Italy
2
Istituto Nazionale di Fisica Nucleare, Sezione di Napoli, Via Cinthia, 80126, Naples, Italy
3
Physics Department, State University of Tetovo, Ilinden Street nn, 1200, Tetovo, North Macedonia
4
Dipartimento di Fisica “E. Pancini”, Università di Napoli “Federico II”, Via Cintia, 80126, Naples, Italy
Received:
4
November
2023
Accepted:
30
March
2024
Published online:
11
April
2024
We address the galaxy rotation curves through the Yukawa gravitational potential emerging as a correction of the Newtonian potential in extended theories of gravity. On the one hand, we consider the contribution of the galactic bulge, galactic disk, and the dark matter halo of the Navarro–Frenk–White profile, in the framework of the standard 
CDM model. On the other hand, we use modified Yukawa gravity to show that the rotational velocity of galaxies can be addressed successfully without the need for dark matter. In Yukawa gravity, we recover MOND and show that dark matter might be seen as an apparent effect due to the modification of the law of gravitation in terms of two parameters: the coupling constant 
and the characteristic length 
. We thus test our theoretical scenario using the Milky Way and M31 rotation velocity curves. In particular, we place observational constraints on the free parameters of Yukawa cosmology through the Monte Carlo method and then compare our results with the predictions of the CDM paradigm by making use of Bayesian information criteria. Specifically, we find that is constrained to be of the order of kpc, while cosmological data suggest of the order of Gpc. To explain this discrepancy, we argue that there is a fundamental limitation in measuring due to the role of quantum mechanics on cosmological scales.
© The Author(s) 2024
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3.
