Higher-dimensional extension of a vacuum-defect wormhole

TL;DR

This paper introduces a five-dimensional metric that smoothly connects the Schwarzschild black hole to a new vacuum-defect wormhole, providing insights into higher-dimensional spacetime structures and their 4D counterparts.

Contribution

It proposes a novel 5D metric interpolating between Schwarzschild and a vacuum-defect wormhole, extending the understanding of higher-dimensional wormhole solutions.

Findings

5D metric interpolates between Schwarzschild and vacuum-defect wormhole

Provides 4D metrics connecting the original and deformed wormholes

Suggests infinite mass density can generate the wormhole structure

Abstract

We present a 5D metric which interpolates between the standard 4D Schwarzschild metric with mass parameter $M$ and a new 4D $M$-deformed vacuum-defect-wormhole metric. The 5D spacetime can, in principle, have an infinite mass density that gives rise to the $M$ parameter of the 4D $M$-deformed vacuum-defect wormhole. For completeness, we also give 4D interpolating metrics between the original vacuum-defect wormhole at the wormhole throat and the $M$-deformed vacuum-defect wormhole at spatial infinity.