Wormhole solutions in the Randall-Sundrum scenario

TL;DR

This paper numerically derives a wormhole geometry in the Randall-Sundrum model by solving five-dimensional Einstein equations for a static, spherically symmetric matter distribution on the brane.

Contribution

It presents the first numerical solution for a wormhole in the Randall-Sundrum scenario with a static, spherically symmetric matter distribution.

Findings

Wormhole geometry is obtained numerically.

The solution describes a stable wormhole structure.

The model extends understanding of gravitational effects in braneworld scenarios.

Abstract

In the simplest form of the Randall-Sundrum model, we consider the metric generated by a static, spherically symmetric distribution of matter on the physical brane. The solution to the five-dimensional Einstein equations, obtained numerically, describes a wormhole geometry.