Skobeltsyn Institute of Nuclear Physics
Lomonosov Moscow State University

We solve exactly the equations of motion for
linearized gravity in the Randall-Sundrum model with matter on the
branes and calculate the Newtonian limit in it. The result
contains contributions of the radion and of the massive modes,
which change considerably Newton's law at small distances. The
effects of "shadow" matter, which lives on the other brane, are
considered and compared with those of ordinary matter for both
positive and negative tension branes. We also calculate light
deflection and Newton's law in the zero mode approximation and
explicitly distinguish the contribution of the radion field.