Title: Snyder Like Modified Gravity in Newton's Spacetime,
Abstract: This work is focused on searching a geodesic interpretation of the dynamics
of a particle under the effects of a Snyder like deformation in the background
of the Kepler problem. In order to accomplish that task, a newtonian spacetime
is used. Newtonian spacetime is not a metric manifold, but allows to introduce
a torsion free connection in order to interpret the dynamic equations of the
deformed Kepler problem as geodesics in a curved spacetime. These geodesics and
the curvature terms of the Riemann and Ricci tensors show a mass and a
fundamental length dependence as expected, but are velocity independent. In
this sense, the effect of introducing a deformed algebra is examinated and the
corresponding curvature terms calculated, as well as the modifications of the
integrals of motion.