Brane corresponding to the Nariai bulk

TL;DR

This paper explores a five-dimensional bulk spacetime modeled by the Nariai metric and demonstrates that the corresponding brane manifests as a cloud of string dust with constant energy density.

Contribution

It introduces a novel brane-world scenario with a Nariai bulk, revealing the brane's matter content as string dust, which is a new insight in higher-dimensional gravity models.

Findings

Brane corresponds to a cloud of string dust with constant energy density.

Nariai bulk spacetime is matched with a vacuum brane under proper boundary conditions.

The brane's matter content differs from typical perfect fluids, being string dust.

Abstract

We consider the five-dimensional bulk spacetime with negative Lambda described by the Nariai metric (which is not conformally flat) and match it with a vacuum brane satisfying the proper boundary conditions. It is shown that the brane metric corresponds to a cloud of string dust of constant energy density.