  Ambient magnetic fields are thought to play a critical role in black hole jet
formation. Furthermore, dual electromagnetic signals could be produced during
the inspiral and merger of binary black hole systems. However, due to the
absence of theoretical models, the physical status of binary black hole arrays
with dual jets has remained unresolved. In this paper, we derive the exact
solution for the electromagnetic field occurring when a static, axisymmetric
binary black hole system is placed in the field of two magnetic or electric
monopoles. As a by-product of this derivation, we also find the exact solution
of the binary black hole configuration in a magnetic or electric dipole field.
The presence of conical singularities in the static black hole binaries
represent the gravitational attraction between the black holes that also drag
the external two monopole field. We show that these off-balance configurations
generate no energy outflows.
