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We demonstrate that the general (A)dS-Kerr-NUT solutions in D dimensions with([D/2], [(D+1)/2]) signature admit [D/2] linearly-independent,mutually-orthogonal and affinely-parameterised null geodesic congruences. Thisenables us to write the metrics in a multi-Kerr-Schild form, where the mass andall of the NUT parameters enter the metrics linearly. In the case of D=2n, wealso obtain n harmonic 2-forms, which can be viewed as charged (A)dS-Kerr-NUTsolution at the linear level of small-charge expansion, for thehigher-dimensional Einstein-Maxwell theories. In the BPS limit, these 2-formsreduce to n-1 linearly-independent ones, whilst the resulting Calabi-Yau metricacquires a Kahler 2-form, leaving the total number the same.

Kerr-Schild Structure and Harmonic 2-forms on (A)dS-Kerr-NUT Metrics