Braneworld Black Bounce to Transversable Wormhole Analytically Connected to an asymptotically $AdS_5$ Boundary

TL;DR

This paper analytically constructs regular braneworld geometries, including traversable wormholes and black holes, within an AdS_5 boundary, revealing their extension into extra dimensions without requiring additional energy sources.

Contribution

It provides complete analytic solutions for braneworld geometries with Simpson-Visser metrics, demonstrating regularity and extension into extra dimensions without extra matter.

Findings

Regular geometries without singularities or de-Sitter cores.

Throats and horizons extend into extra dimensions.

No additional energy sources needed for regularity.

Abstract

We extend the recent approach from reference [1] to obtain complete and analytic solutions (both brane and bulk) of a Simpson-Visser (SV) geometry within a braneworld framework. The embedded geometry can represent a traversable wormhole (TWH), a one-way wormhole (OOWH), or a regular black hole (RBH). The resulting geometry is regular everywhere, eliminating any singularity or local de-Sitter core at the origin and on the brane location, where the regular geometry is given by the SV geometry. The throat of TWHs or OOWHs can extend into the extra dimension. The event horizon of RBH extends along the extra dimension, prompting speculation on the extension of entropy into this dimension. Although the induced geometry is characterized by tension, acting akin to a positive cosmological constant (thus potentially representing empty space), the induced four-dimensional geometry remains regular. There is no need to introduce additional energy sources on the brane to achieve this regularity. Hence, the brane's geometry, which may depict an RBH, TWH, or OWWH, is influenced by the geometric properties of the bulk