Corrections to the Newtonian potential in the two-brane Randall-Sundrum model

TL;DR

This paper analyzes how the Newtonian potential is modified in the two-brane Randall-Sundrum model, highlighting the effects of brane separation and the radion, with implications for gravitational behavior at different scales.

Contribution

It provides a detailed calculation of the Newtonian potential in the two-brane Randall-Sundrum model, including the impact of brane separation and radion contributions.

Findings

At small distances, the two-brane model mimics the one-brane model.

At large distances, the bulk acts like a compact dimension with exponential corrections.

Radion contribution is a multiplicative factor of order 1.

Abstract

We calculate the Newtonian potential in the two-brane Randall-Sundrum model, emphasizing the effect of the finite distance between the two branes. The result obtained is quite natural: When the distance in the potential is small compared to the brane separation the two-brane model is indistinguishable from the one-brane model, whereas when the distance is large the bulk dimension behaves like an ordinary compact dimension, with an exponentially decreasing correction to the four-dimensional potential. The contribution from the radion is also included, and is found to give only a multiplicative factor of order 1 in the correction.