Cylindrical thin-shell wormholes and energy conditions

TL;DR

This paper proves that cylindrical thin-shell wormholes cannot be supported by matter satisfying energy conditions everywhere under general asymptotic assumptions, extending previous results and establishing conditions for non-exotic wormholes.

Contribution

It demonstrates the impossibility of energy-condition-satisfying cylindrical wormholes and provides necessary conditions for non-exotic configurations, extending prior work to more general asymptotics.

Findings

Cylindrical thin-shell wormholes cannot be supported by matter satisfying energy conditions everywhere.

Previous results for flat and conical asymptotics are reproduced.

Necessary conditions for non exotic wormholes are established.

Abstract

We prove the impossibility of cylindrical thin-shell wormholes supported by matter satisfying the energy conditions everywhere, under reasonable assumptions about the asymptotic behaviour of the - in general different - metrics at each side of the throat. In particular, we reproduce for singular sources previous results corresponding to flat and conical asymptotics, and extend them to a more general asymptotic behaviour. Besides, we establish necessary conditions for the possibility of non exotic cylindrical thin-shell wormholes.