Nonsymmetric Dynamical Thin-Shell Wormhole in Robinson--Trautman Class

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 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.

1 figure, updated to reflect the published version

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• Appearance of Keplerian discs orbiting on both sides of a reflection-symmetric wormhole
• Well-posed non-vacuum solutions in Robinson--Trautman geometry
• Phantom scalar field counterpart to Curzon-Chazy spacetime