Dynamics of dwarf galaxies in f(R) gravity

Abstract

We use the kinematic data of the stars in eight dwarf spheroidal galaxies to assess whether f ( R ) gravity can fit the observed profiles of the line-of-sight velocity dispersion of these systems without resorting to dark matter. Our model assumes that each galaxy is spherically symmetric and has a constant velocity anisotropy parameter βand constant mass-To-light ratio consistent with stellar population synthesis models. We solve the spherical Jeans equation that includes the Yukaw a-lik e gravitational potential appearing in the weak field limit of f ( R ) gravity, and a Plummer density profile for the stellar distribution. The f ( R ) velocity dispersion profiles depends on two parameters: The scale length-1 , below which the Yukawa term is negligible, and the boost of the gravitational field-1. and are not universal parameters, but their variation within the same class of objects is expected to be limited. The f ( R ) velocity dispersion profiles fit the data with a value-1 = 1 . 2 + 18 . 6-0 . 9 Mpc for the entire galaxy sample. On the contrary, the values of show a bimodal distribution that picks at =-0 . 986 ±0 . 002 and =-0 . 92 ±0 . 01. These two values disagree at 6 and suggest a severe tension for f ( R ) gravity. It remains to be seen whether an impro v ed model of the dwarf galaxies or additional constraints provided by the proper motions of stars measured by future astrometric space missions can return consistent 's for the entire sample and remo v e this tension.