Field Sources for Generalized Ellis-Bronnikov Wormhole

TL;DR

This paper explores the properties and accretion behavior of the generalized Ellis-Bronnikov wormhole, revealing how the parameter m influences its geometry and demonstrating it as an exact solution in General Relativity with specific matter sources.

Contribution

It introduces the generalized Ellis-Bronnikov wormhole with a new parameter m, analyzes its embedding diagrams, and shows it as an exact solution with phantom scalar and electromagnetic fields.

Findings

Embedding diagrams vary with parameter m.

Dust infall velocity decreases near the throat, more sharply for larger m.

The geometry is an exact solution with phantom scalar and electromagnetic fields.

Abstract

The so-called generalized Ellis-Bronnikov wormhole is a modification of the standard Ellis-Bronnikov solution, in which a parameter $m>2$ is introduced-recovering the original Ellis-Bronnikov geometry when $m=2$. In this work, we investigate the properties of this spacetime by analyzing its embedding diagrams and how they are affected by variations in the parameter $m$. Furthermore, we study the accretion of dust (a pressureless fluid) onto this geometry, showing that-unlike in black hole scenarios-the radial infall velocity of the dust decreases as it approaches the wormhole throat, with this deceleration becoming increasingly abrupt for larger values of $m$. As a main result, we demonstrate that this geometry arises as an exact solution of General Relativity when considering the combined presence of a phantom scalar field and a magnetic or electric source.