Brane-induced gravity in warped backgrounds and the absence of the radion

Abstract

The Randall–Sundrum model with brane-localized curvature terms is considered. It is shown that this model possesses some interesting features, in particular, the radion field is absent in it. Although there is no modification of gravity at long distances, the model predicts deviations from Newton's law at short distances. This effect can be observed in the experiments for testing gravity at sub-millimeter scales.