TL;DR
This paper derives exact solutions for pairs of oppositely charged extremal black holes, called black diholes, in equilibrium via external magnetic fields or cosmic strings, and relates them to string theory brane configurations.
Contribution
It provides new exact solutions of Einstein-Maxwell and Einstein-Maxwell-Dilaton equations describing black diholes in equilibrium, linking gravitational solutions to string theory constructs.
Findings
Black diholes are in equilibrium with external magnetic fields or cosmic strings.
Exact solutions for Einstein-Maxwell and Einstein-Maxwell-Dilaton equations are derived.
Connections to brane-antibrane configurations in string and M-theory are discussed.
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.
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