  The thin-shell wormhole created using the Darmois-Israel formalism applied to
Robinson-Trautman family of spacetimes is presented. The stress energy tensor
created on the throat is interpreted in terms of two dust streams and it is
shown that asymptotically this wormhole settles to the Schwarzschild wormhole
with a throat located at the horizon position. This behavior shows a nonlinear
stability (within the Robinson-Trautman class) of this spherically symmetric
wormhole. The gravitational radiation emitted by the Robinson-Trautman wormhole
during the transition to spherical symmetry is indistinguishable from that of
the corresponding black hole Robinson-Trautman spacetime. Subsequently, we show
that the higher-dimensional generalization of Robinson-Trautman geometry offers
a possibility of constructing wormholes without the need to violate the energy
conditions for matter induced on the throat.
