Analytic Reissner-Nordstrom Singularity

TL;DR

This paper introduces an analytic extension of the Reissner-Nordstrom black hole solution that renders the metric components finite and smooth at the singularity, providing insights into charged particle models and black hole properties.

Contribution

It presents a novel coordinate extension of the Reissner-Nordstrom solution that makes the metric finite and smooth at the singularity, compatible with global hyperbolicity.

Findings

The extended metric components are finite and smooth at the singularity.

Charged black hole singularities are compatible with initial data conservation.

Geometric models for electrically charged particles are constructed.

Abstract

An analytic extension of the Reissner-Nordstrom solution at and beyond the singularity is presented. The extension is obtained by using new coordinates in which the metric becomes degenerate at $r=0$. The metric is still singular in the new coordinates, but its components become finite and smooth. Using this extension it is shown that the charged and non-rotating black hole singularities are compatible with the global hyperbolicity and with the conservation of the initial value data. Geometric models for electrically charged particles are obtained.