Gravity in Randall-Sundrum two D-brane model

TL;DR

This paper investigates linearized gravity in the Randall-Sundrum two D-brane model, showing that localized gauge fields do not significantly contribute to brane gravity at large distances, with implications for gauge-gravity coupling.

Contribution

It provides a detailed analysis of linear perturbations and demonstrates the non-contribution of localized gauge fields to brane gravity at large scales.

Findings

Kaluza-Klein modes have a qualitative impact on gravity coupling.

Localized gauge fields do not contribute to brane gravity at large distances.

Ordinary gauge-gravity coupling cannot be realized at the linear level.

Abstract

We analyse Randall-Sundrum two D-brane model by linear perturbation and then consider the linearised gravity on the D-brane. The qualitative contribution from the Kaluza-Klein modes of gauge fields to the coupling to the gravity on the brane will be addressed. As a consequence, the gauge fields localised on the brane are shown not to contribute to the gravity on the brane at large distances. Although the coupling between gauge fields and gravity appears in the next order, the ordinary coupling cannot be realised.