  We present a series of new solutions in five-dimensional
Einstein-Maxwell-Chern-Simons theory with an arbitrary Chern-Simons coupling
$\gamma$ and a cosmological constant $\Lambda$. For general $\gamma$ and
$\Lambda$ we give various generalizations of the Bertotti-Robinson solutions
supported by electric and magnetic fluxes, some of which presumably describe
the near-horizon regions of black strings or black rings. Among them there is a
solution which could apply to the horizon of a topological AdS black ring in
gauged minimal supergravity. Others are horizonless and geodesically complete.
We also construct extremal asymptotically flat multi-string solutions for
$\Lambda=0$ and arbitrary $\gamma$.
