On the Collapse of Charged Scalar Fields

TL;DR

This paper numerically investigates the collapse of a charged scalar field, revealing the formation of a Reissner-Nordström spacetime with a singularity at the Cauchy Horizon, and discusses related numerical challenges.

Contribution

It provides new numerical insights into the collapse dynamics of charged scalar fields and the structure of resulting spacetime singularities.

Findings

Formation of Reissner-Nordström exterior spacetime

Presence of a singularity at the Cauchy Horizon

Discussion of numerical challenges in simulating collapse

Abstract

We explore numerically the evolution of a collapsing spherical shell of charged, massless scalar field. We obtain an external \RN space-time, and an inner space-time that is bounded by a singularity on the Cauchy Horizon. We compare these results with previous analysis and discuss some of the numerical problems encountered.