Abstract
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 position of the horizon.
This behavior shows a nonlinear stability (within theRobinson-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 ofRobinson-Trautman geometry offers a possibility of constructingwormholes without the need to violate the energy conditions for matter induced on the throat.