Distorted black holes in an external magnetic field

Distorted black holes are local exact solutions describing the near-horizon region of a black hole, which interacts quasi-stationary with an external matter distribution. They can model astrophysical scenarios such as a black hole surrounded by an accretion disk, or a black hole in a binary system in the very initial stages of the inspiral. We construct two families of exact black hole solutions, which in addition to the interaction with some gravitational source, reflect the influence of an external large-scale magnetic field. The solutions include a static and a charged rotating class, which reduce in the isolated black hole limit to the Schwarzschild and Reissner-Nordstrom black holes, respectively. Technically, they are obtained by performing a Harrison transformation on (electro-)vacuum Weyl seed solutions describing distorted black holes.