Accounting for the large radial tension in Morris-Thorne wormholes

TL;DR

This paper investigates the enormous radial tension in Morris-Thorne wormholes and explores three theoretical approaches—noncommutative geometry, modified gravity, and extra dimensions—to address the tension issue.

Contribution

It introduces three novel theoretical frameworks to account for the large radial tension in wormholes, expanding understanding beyond exotic matter models.

Findings

Radial tension comparable to neutron stars identified.

Noncommutative geometry offers a potential explanation.

Extra dimensions may influence wormhole stability.

Abstract

It is well known that a Morris-Thorne wormhole can only be held open by violating the null energy condition, physically realizable by the use of "exotic matter." Unfortunately, even a small or moderately-sized wormhole would have a radial tension equal to that of the interior of a massive neutron star. So outside a neutron-star setting, such an outcome is problematical at best, calling for more than an appeal to exotic matter whose introduction had a completely different objective and with possibly different outcomes. The purpose of this paper is to account for the enormous radial tension in three ways: (1) directly invoking noncommutative geometry, an offshoot of string theory, (2) appealing to noncommutative geometry in conjunction with $f(R)$ modified gravity, and (3) determining the possible effect of a small extra dimension.