  We investigate the vacuum and charged spherically symmetric static solutions
of the Einstein equations on cosmological background. The background metric is
not flat, but curved, with constant - curvature spatial sections. Both vacuum
and charged cases contain two branches. The first branches transform into the
Schwarzschild and Reissner-Nordstr\"om solutions if the background metric goes
to the Minkovski one. The second branches describe wormholes and have no
Einstein limit.
