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

TL;DR

This paper proposes a brane-world gravity model with localized curvature in a warped background, which predicts short-distance deviations from Newton's law and notably lacks a radion field.

Contribution

It introduces a new brane-induced gravity model in warped backgrounds that eliminates the radion and predicts observable short-distance gravitational deviations.

Findings

Radion field is absent in the model.

Deviations from Newton's law occur at sub-millimeter scales.

Potential for experimental detection of short-distance gravity effects.

Abstract

A model with brane-localized curvature terms in a warped background is proposed. The model is based on the Randall-Sundrum solution for the background metric and 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.