Tracking the Local Group Dynamics by Extended Gravity

Understand

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 $\Lambda$ 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: $\alpha < 0.581$ and $m_{grav} < 5.095 \cdot 10^{-26} \, eV/c^2$.