Rotating cylindrical wormholes: a no-go theorem

Abstract

The existing solutions to the Einstein equations describing rotating cylindrical wormholes are not asymptotically flat and therefore cannot describe wormhole entrances as local objects in our Universe. To overcome this difficulty, flat asymptotic regions are added to wormhole solutions by matching them at some surfaces ${\Sigma }_{-}$ and ${\Sigma }_{+}$. It is shown, however, that if the wormhole solution is obtained for scalar fields with arbitrary potentials, possibly interacting with an azimuthal electric or magnetic field, then the matter content of one or both thin shells appearing on ${\Sigma }_{-}$ and ${\Sigma }_{+}$ violate the Null Energy Condition. Thus exotic matter is still necessary for obtaining a twice asymptotically flat wormhole.

4 pages, no figures

References in corpus (3)

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• Exact Rotating Magnetic Traversable Wormholes satisfying the Energy Conditions

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• Rotating cylinders with anisotropic fluids in general relativity
• On the cylindrically symmetric wormholes WhCR^e: The motion of test particles