Black diholes

Abstract

We present and analyze exact solutions of the Einstein-Maxwell and Einstein-Maxwell-Dilaton equations that describe static pairs of oppositely charged extremal black holes, i.e., black diholes. The holes are suspended in equilibrium in an external magnetic field, or held apart by cosmic strings. We comment as well on the relation of these solutions to brane-antibrane configurations in string and M-theory.

13 pages, 1 figure. V2: analysis improved, now allow for cosmic strings. In particular, we show the Bonnor solution to be a dihole held by strings. Refs added. V3: added comments on relation to earlier work, minor improvements otherwise. Final version, to appear in PRD

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