Abstract
We briefly summarise the basic properties of spacetimes representing rotating, charged black holes in strong axisymmetric magnetic elds. We concentrate on extremal cases, for which the horizon surface gravity vanishes.
We investigate their properties by finding simpler spacetimes that exhibit their geometries near degenerate horizons. Employing the simpler geometries obtained by near-horizon limiting description we analyse the Meissner effect of magnetic field expulsion from extremal black holes.