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After a brief summary of the basic properties of stationary spacetimesrepresenting rotating, charged black holes in strong axisymmetric magneticfields, we concentrate on extremal cases, for which the horizon surface gravityvanishes. We investigate their properties by constructing simpler spacetimesthat exhibit their geometries near degenerate horizons. Starting from thesymmetry arguments we find that the near-horizon geometries of extremalmagnetised Kerr-Newman black holes can be characterised by just onedimensionless parameter: "effective Kerr-Newman mixing angle". Employing thenear-horizon geometries we demonstrate the Meissner effect of magnetic fieldexpulsion from extremal black holes.

Near-horizon description of extremal magnetised stationary black holes and Meissner effect