Nested braneworlds and strong brane gravity

TL;DR

This paper investigates the gravitational effects of nested domain walls within brane-universe models, revealing that a vortex on a critical brane mimics an (n-1)-dimensional vacuum domain wall and proposing a setup for nested Randall-Sundrum scenarios.

Contribution

It introduces the concept of nested brane structures and analyzes their gravitational fields, extending the understanding of complex brane configurations in higher-dimensional theories.

Findings

Vortex on a critical brane replicates the gravitational field of an (n-1)-dimensional vacuum domain wall.

A method to set up nested Randall-Sundrum models with a flat critical vortex on a subcritical brane.

Demonstrates the equivalence of certain nested brane configurations to known lower-dimensional solutions.

Abstract

We find the gravitational field of a `nested' domain wall living entirely within a brane-universe, or, a localised vortex within a wall. For a vortex living on a critical Randall-Sundrum brane universe, we show that the induced gravitational field on the brane is identical to that of an (n-1)-dimensional vacuum domain wall. We also describe how to set-up a nested Randall-Sundrum scenario using a flat critical vortex living on a subcritical (adS) brane universe.