A viable wormhole model in a five-dimensional spacetime

TL;DR

This paper presents a generalized five-dimensional wormhole model where the line element depends on both radial and extra dimensions, showing that the wormhole can be threaded with ordinary matter and that null energy condition violations are due to the extra dimension.

Contribution

It introduces a new five-dimensional wormhole solution with variable dependence on the extra dimension, aligning with string theory constraints and explaining energy condition violations.

Findings

Throat can be threaded with ordinary matter.

Null energy condition violation attributed to extra dimension.

Model consistent with string theory constraints.

Abstract

This paper generalizes two of the author's earlier wormhole solutions that are characterized by an extra spatial dimension. This paper adds the assumption that the components of the line element are functions not only of the radial coordinate $r$ but of the extra coordinate $l$ as well, resulting in a significant generalization. It is shown that the throat of the wormhole can be threaded with ordinary matter and that the unavoidable violation of the null energy condition can be attributed to the extra dimension. To be consistent with string theory, we also assume that this extra dimension has a small magnitude.