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arxiv: 1111.4332 · v5 · pith:DBJN52OTnew · submitted 2011-11-18 · 🌀 gr-qc · math-ph· math.DG· math.MP

Analytic Reissner-Nordstrom Singularity

classification 🌀 gr-qc math-phmath.DGmath.MP
keywords extensionanalyticchargedcoordinatesmetricobtainedreissner-nordstromsingularity
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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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