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arXiv · 1105.3807

On the black hole limit of electrically counterpoised dust configurations

Reinhard Meinel·Moritz Hütten
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Abstract

By means of a simple scaling transformation any asymptotically flat Papapetrou-Majumdar solution of the Einstein-Maxwell equations corresponding to a localized regular distribution of electrically counterpoised dust can be reformulated as a one-parameter family of solutions admitting a black hole limit. In the limit, a characteristic separation of spacetimes occurs: From the exterior point of view, the extreme Reissner-Nordstrom metric outside the event horizon is formed. From the interior point of view, a regular, non-asymptotically flat (and in general non-spherically symmetric) spacetime with the extreme Reissner-Nordstrom near-horizon geometry at spatial infinity results.

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Reinhard Meinel, Moritz Hütten. 2011-09-20. On the black hole limit of electrically counterpoised dust configurations. https://doi.org/10.1088/0264-9381%2F28%2F22%2F225010

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