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We derive the effective Lagrangian of the physical four-dimensional fields in the Randall-Sundrum model, and use this to calculate the Newtonian gravitational potential between two point sources on the brane. The effect of the radion is emphasized, and it is found to disappear when the hidden brane is taken to infinity, i.e. when we only have one brane. The four-dimensional theory also contains a massless vector field, although this field does not contribute to the gravitational interaction. As a preliminary, we derive the corresponding Lagrangian in the simpler geometry of a flat spacetime with one extra dimension compactified on a torus

Lagrangian formalism of gravity in the Randall-Sundrum model