Dynamical wormholes

TL;DR

This paper numerically studies the evolution of spherically symmetric wormholes, revealing similar dynamics in different models and providing a detailed methodology for such analyses using double null coordinates.

Contribution

It introduces a comprehensive numerical approach for analyzing dynamical wormholes and compares two distinct models, highlighting their similar evolution despite different sources.

Findings

Both wormhole models exhibit expansion and collapse behaviors.

The dynamics are remarkably similar despite different sources.

Provides a detailed methodology for spherically symmetric evolution using double null coordinates.

Abstract

We numerically investigate the dynamical evolution of spherically symmetric charge free wormholes. We concentrate on two specific examples, both of which exhibit wormhole expansion and wormhole collapse: the Ellis-Bronnikov wormhole, which is sourced by a real massless ghost scalar field, and the quantum corrected Schwarzschild black hole in semiclassical gravity (which has a wormhole structure and is not a true black hole), which is sourced by a renormalized energy-momentum tensor. Despite their very different sources, we demonstrate that the dynamics of these two wormholes are remarkably similar. Our analysis focuses on diagrams for the areal radius and components of the energy-momentum tensor. This work also serves as a review, offering a detailed description of how to perform a spherically symmetric dynamical evolution using double null coordinates as well as a review of the static solutions for our two examples.