Two equations describing past marginally trapped surfaces in twisting algebraically special space–times are obtained. One of them generalizes the equation discussed by Tod for twist-free (Robinson–Trautman) metrics. The second one is solvable under certain algebraic conditions, closely related to “m > 0” and “$m^2 > a^2$” of the Kerr metric. Consequences of the existence of a null horizon are discussed. Kerr–Schild metrics admitting such horizons are shown to be of Petrov- type D.
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