A non-standard matter distribution in the RS1 model and the coupling constant of the radion

TL;DR

This paper investigates how a non-standard matter distribution near the negative tension brane in the RS1 model influences the radion's coupling to matter, highlighting potential implications for matter localization mechanisms.

Contribution

It provides an exact solution for linearized gravity equations with a non-standard matter distribution in the RS1 model, revealing its impact on radion-matter coupling.

Findings

Non-standard matter distribution affects radion coupling strength.

Exact solutions for linearized gravity in RS1 with modified matter profiles.

Potential relevance for realistic matter localization mechanisms.

Abstract

In the zero mode approximation we solve exactly the equations of motion for linearized gravity in the Randall-Sundrum model with a non-standard distribution of matter in the neighbourhood of the negative tension brane. It is shown that the form of this distribution can strongly affect the coupling of the radion to matter. We believe that such a situation can arise in models with a realistic mechanisms of matter localization.