Correction terms to Newton law due to induced gravity in AdS background

TL;DR

This paper derives correction terms to Newton's law of gravitation in an AdS background with induced gravity, providing a comprehensive formula valid for various parameters and distances.

Contribution

It introduces a general method to calculate gravitational potential corrections in Randall-Sundrum models with induced Einstein terms for arbitrary parameters.

Findings

Correction terms depend on AdS radius and characteristic length scale.

Derived a formula for gravitational potential valid at all distances.

Results clarify how induced gravity modifies Newtonian gravity in AdS backgrounds.

Abstract

We calculate small correction terms to gravitational potential on Randall-Sundrum brane with an induced Einstein term. The behaviors of the correction terms depend on the magnitudes of $AdS$ radius $k^{-1}$ and a characteristic length scale $\l$ of model. We represent the gravitational potential for arbitrary $k$ and $\l$ at all distances.