Some solutions of linearized 5-d gravity with brane

TL;DR

This paper explores solutions to linearized 5-dimensional gravity in the Randall-Sundrum brane model, including static and wave solutions, analyzing their behavior and implications for matter sources near the brane.

Contribution

It presents new static and wave solutions for linearized 5D gravity in the brane world, including radiation from a point source and analysis of asymptotic behavior.

Findings

Found static solutions to linearized Einstein equations.

Derived wave solutions representing radiation from a point source.

Analyzed asymptotic behavior of the gravitational fields.

Abstract

We consider linearized 5-d gravity in the Randall-Sundrum brane world. The class of static solutions for linearized Einstein equations is found. Also we obtaine wave solutions describing radiation from an imaginary point source located at the Planck distance from the brane. We analyze the fields asymptotic behavior and peculiarities of matter sources.