  We study exact stationary and axisymmetric solutions describing charged
rotating black holes localized on a 3-brane in the Randall-Sundrum braneworld.
The charges of the black holes are considered to be of two types, the first
being an induced tidal charge that appears as an imprint of nonlocal
gravitational effects from the bulk space and the second is a usual electric
charge arising due to a Maxwell field trapped on the brane. We assume a special
ansatz for the metric on the brane taking it to be of the Kerr-Schild form and
show that the Kerr-Newman solution of ordinary general relativity in which the
electric charge is superceded by a tidal charge satisfies a closed system of
the effective gravitational field equations on the brane. It turns out that the
negative tidal charge may provide a mechanism for spinning up the black hole so
that its rotation parameter exceeds its mass. This is not allowed in the
framework of general relativity. We also find a new solution that represents a
rotating black hole on the brane carrying both charges. We show that for a
rapid enough rotation the combined influence of the rotational dynamics and the
local bulk effects of the "squared" energy momentum tensor on the brane distort
the horizon structure of the black hole in such a way that it can be thought of
as composed of non-uniformly rotating null circles with growing radii from the
equatorial plane to the poles. We finally study the geodesic motion of test
particles in the equatorial plane of a rotating black hole with tidal charge.
We show that the effects of negative tidal charge tend to increase the horizon
radius, as well as the radii of the limiting photon orbit, the innermost bound
and the innermost stable circular orbits for both direct and retrograde motions
of the particles.
