On the black hole limit of electrically counterpoised dust configurations

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.

8 pages, 1 figure, to appear in CQG

References in corpus (2)

• Quasi-black holes: definition and general properties
• On the black hole limit of rotating discs and rings

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• Quasi-black holes: general features and purely field configurations