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In a previous article we derived a class of solutions to the force-freemagnetosphere in a Kerr background. Here, the streaming surface, defined byconstant values of the toriodal component of the electromagnetic vectorpotential $A$, were generated by constant values of $\theta$. Theelectromagnetic current vector flowed along the in-falling principle nullgeodesic vector of the geometry. Subsequently, we generalized this to obtain anout-going principle null geodesic vector as well. In this article, we derivesolutions that are complimentary to the above mentioned criteria. Namely, herethe solution has a streaming surface generated by spheres of constant radialcoordinate $r$, and the current vector is generated by linear combinations of$m$ and $m^\star$, the remaining bases vectors in the Newman-Penrose nulltetrad.

Force-free Currents and the Newman-Penrose Tetrad of a Kerr Black Hole: Exact Local Solutions