Cylindrically symmetric wormholes

TL;DR

This paper explores cylindrically symmetric traversable wormholes with non-differentiable shape functions, proposing a one-sided derivative approach that satisfies the weak energy condition, differing from traditional Morris-Thorne wormholes.

Contribution

It introduces a novel method for modeling cylindrically symmetric wormholes with non-smooth throats that meet energy conditions, expanding the theoretical framework.

Findings

Wormholes with cylindrical symmetry can satisfy the weak energy condition.

A new approach using one-sided derivatives handles non-differentiable shape functions.

The shape function's non-differentiability is physically consistent with the geometry.

Abstract

This paper discusses traversable wormholes that differ slightly but significantly from those of the Morris-Thorne type under the assumption of cylindrical symmetry. The throat is a piecewise smooth cylindrical surface resulting in a shape function that is not differentiable at some value. It is proposed that the regular derivative be replaced by a one-sided derivative at this value. The resulting wormhole geometry satisfies the weak energy condition.