## Abstract

The Local Group (LG) of galaxies, modeled as a two body problem, is sensitive to cosmological contributions like those related to the presence of a cosmological constant Λ into dynamics. Here we study the LG dynamics in the context of Extended Theories of Gravity like f(R) gravity considered as dark energy and dark matter contributions. In the first approach, we perturb the dark energy effect considering a Yukawa-like interaction that naturally emerges from f(R) gravity in the weak field limit. We assume the mass of LG from simulations and, from this, derive constraints on the Yukawa couplings: α<0.581 and m_{grav}<5.095⋅10^{−26}eV/c^{2}. In the second part, considering a minimal extension of General Relativity, i.e. f(R)∼R^{1+ϵ}, with |ϵ|≪1, we investigate the possibility that it replaces dark matter as a MOND-like theory. We find that there is a value of the parameter β (derived starting from ϵ) which gives a minimal value for the LG mass. Moreover, this particular potential allows to calculate the ratio of dark matter and baryonic matter for the LG to be. We show that this ratio could falsify MOND-like theories.

Original language | English |
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Article number | 101175 |

Journal | Physics of the Dark Universe |

Volume | 39 |

DOIs | |

State | Published - 1 Feb 2023 |

Externally published | Yes |

## Keywords

- Dark Energy

## ASJC Scopus subject areas

- Astronomy and Astrophysics
- Space and Planetary Science