  In this paper, we provide exact solutions for the extraction of energy from a
rotating black hole via both the electromagnetic Poynting flux and matter
currents. By appropriate choice of a radially independent poloidal function
$\Lambda(\theta)$, we find solutions where the dominant outward energy flux is
along the polar axis, consistent with a jet-like collimated outflow, but also
with a weaker flux of energy along the equatorial plane. Unlike all the
previously obtained solutions (Blandford & Znajek (1977), Menon & Dermer
(2005)), the magnetosphere is free of magnetic monopoles everywhere.
