On the long-range gravity in warped backgrounds

TL;DR

This paper investigates how the Randall-Sundrum model with brane-localized curvature predicts small deviations from Newtonian gravity at astronomical scales due to massive modes, potentially affecting planetary motion.

Contribution

It analyzes the impact of brane-localized curvature terms on the size of the extra dimension and the resulting gravitational deviations in warped backgrounds.

Findings

Large extra dimension can cause measurable deviations from Newton's law.

Deviations may influence planetary motion trajectories.

Model predicts small but potentially observable gravitational effects at astronomical scales.

Abstract

In this paper the Randall-Sundrum model with brane-localized curvature terms is considered. Within some range of parameters a compact extra dimension in this model can be astronomically large. In this case the model predicts small deviation from Newton's law at astronomical scales, caused by the massive modes. The existence of this deviation can result in a slight affection on the planetary motion trajectories.