Friday, April 20, 2012

Analytic Reissner–Nordström singularity

This paper can be downloaded for the following 30 days from the Physica Scripta website.

Link to the arXiv version.


An analytic extension of the Reissner–Nordström 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.