Homogeneous singularities inside collapsing wormholes

TL;DR

This paper investigates the formation of singularities during the collapse of wormholes influenced by exotic scalar fields with negative energy density, using analytical and numerical methods under spherical symmetry.

Contribution

It provides a comparative analysis of singularity formation in wormhole collapse involving exotic versus ordinary scalar fields, highlighting differences relevant for astrophysical observations.

Findings

Singularities form differently depending on the scalar field type.

Exotic scalar fields lead to distinct collapse dynamics.

Magnetic fields influence the collapse process.

Abstract

We analyze analytically and numerically the origin of the singularity in the course of the collapse of a wormhole with the exotic scalar field Psi with negative energy density, and with this field Psi together with the ordered magnetic field H. We do this under the simplifying assumptions of the spherical symmetry and that in the vicinity of the singularity the solution of the Einstein equations depends only on one coordinate (the homogeneous approximation). In the framework of these assumptions we found the principal difference between the case of the collapse of the ordinary scalar field Phi with the positive energy density together with an ordered magnetic field H and the collapse of the exotic scalar field Psi together with the magnetic field H. The later case is important for the possible astrophysical manifestation of the wormholes.