Electromagnetic Multipoles for Morris-Thorne Wormhole

TL;DR

This paper derives the wave equation for Morris-Thorne wormholes using differential forms, solves it for specific functions, and analyzes electromagnetic multipoles at the wormhole's throat to understand their behavior.

Contribution

It introduces a novel derivation of the wave equation for Morris-Thorne wormholes and investigates electromagnetic multipoles in this context.

Findings

Wave equation derived using differential forms.

Solutions obtained for specific red-shift and shape functions.

Electromagnetic multipole behavior analyzed at the wormhole's throat.

Abstract

Wormholes are interesting space-time structures connecting two asymptotic regions found in a universe or multiverse and are solutions to Einstein's field equations. These objects have many interesting features as far as physics is concerned. Morris and Thorne introduced traversable wormholes, which increases the possibility of space-time travel. In this work, the wave equation of the Morris-Thorne wormhole has been derived by the technique of differential forms. The solution of the wave equation for a particular choice of red-shift function and shape function is obtained. The potential has also been computed in order to analyze electromagnetic fields. The behavior of electromagnetic multipoles is expressed and investigated in their behavior at the wormhole's throat.