Field Sources for Wormholes With Multiple Throats/Anti-throats

TL;DR

This paper explores complex wormhole geometries with multiple throats and anti-throats, analyzing their structure, geodesic motion, and energy conditions within general relativity, using scalar fields and nonlinear electrodynamics.

Contribution

It introduces new solutions for multi-throat wormholes, visualizes their complex structures, and examines conditions under which energy constraints are partially satisfied.

Findings

Multiple throats and anti-throats identified via area extrema

Complex geometries visualized with embedding diagrams

Energy conditions can be partially satisfied in certain regions

Abstract

In this work, we investigate wormhole geometries with multiple throats and anti-throats in general relativity. The existence of these structures is identified through the analysis of minima and maxima in the area of the solution. Using embedding diagrams, we visualize the geometry and demonstrate that these objects exhibit a complex structure, distinct from standard single-throat wormholes. We further analyze the geodesic motion in such spacetimes. The solutions are derived from Einstein's equations by coupling a phantom scalar field to nonlinear electrodynamics, and we show that distinct scalar field profiles can generate the same spacetime geometry. Additionally, we examine the energy conditions and demonstrate that, for specific parameter choices, all energy conditions can be partially satisfied in certain regions of spacetime.