Wormhole on DGP brane

TL;DR

This paper presents an exact, matter-free wormhole solution in a DGP braneworld model, embedded on a five-dimensional bubble of nothing, with implications for traversability conditions.

Contribution

It introduces a novel wormhole solution on a brane in the DGP model, constructed on a bubble of nothing, expanding the understanding of geometric structures in braneworld scenarios.

Findings

The wormhole is an exact solution without matter fields.

Traversability requires the bubble to be larger than approximately 10^{10} cm.

Energy conditions are trivially satisfied due to the absence of matter.

Abstract

We analyze a spacetime structure on a new brane configuration constructed recently in the Dvali-Gabadadze-Porrati braneworld context. The brane, embedded on a five-dimensional bubble of nothing, has a wormhole structure. It is an exact solution without any matter fields, and thus the energy conditions for matter fields are trivially satisfied. We see that, under the traversability condition, the size of the bubble should be larger than 10^{10}cm or so.