Analytic Reissner-Nordstrom Singularity

Details Analytic Reissner-Nordstrom Singularity Analytic Reissner-Nordstrom Singularity

2011-11-18

arxiv.org/abs/1111.4332v5

Phys. Scr. 85 (2012) 055004

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, 11 figures

Scientific paper

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.

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