Rotating cylindrical wormholes and energy conditions

Abstract

We seek wormholes among rotating cylindrically symmetric configurations in general relativity. Exact wormhole solutions are presented with such sources of gravity as a massless scalar field, a cosmological constant, and a scalar field with an exponential potential. However, none of these solutions are asymptotically flat, which excludes the existence of wormhole entrances as local objects in our Universe. To overcome this difficulty, we try to build configurations with flat asymptotic regions using the cut-and-paste procedure: on both sides of the throat, a wormhole solution is matched to a properly chosen region of flat space-time at some surfaces ${\Sigma }_{-}$ and ${\Sigma }_{+}$. It is shown, however, that if the source of gravity in the throat region is a scalar field with an arbitrary potential, then one or both thin shells appearing on ${\Sigma }_{-}$ and ${\Sigma }_{+}$ inevitably violate the null energy condition. Thus, although rotating wormhole solutions are easily found without exotic matter, such matter is still necessary for obtaining asymptotic flatness.

10 pages, no figures. Submitted to Proc. of the 9th Alexander Friedmann International Seminar on Gravitation and Cosmology

References in corpus (4)

• Thin accretion disks in stationary axisymmetric wormhole spacetimes
• Static and symmetric wormholes respecting energy conditions in Einstein-Gauss-Bonnet gravity
• Cylindrical wormholes
• Cylindrically and axially symmetric wormholes. Throats in vacuum?

Cited by in corpus (12)

• Cylindrical Systems in General Relativity
• Potentially observable cylindrical wormholes without exotic matter in general relativity
• Cylindrical wormholes: a search for viable phantom-free models in GR
• A topologically charged four-dimensional wormhole and the energy conditions
• The Stability of Asymmetric Cylindrical Thin-Shell Wormholes
• Rotating cylinders with anisotropic fluids in general relativity
• Particle motion around traversable wormholes: Possibility of closed timelike geodesics
• Electrostatics and self-force in asymptotically flat cylindrical wormholes
• Higher-dimensional topologically charged traversable defect wormhole with non-exotic matter
• String clouds and radiation flows as sources of gravity in static or rotating cylinders
• On the cylindrically symmetric wormholes WhCR^e: The motion of test particles
• About the traversability of thin-shell wormholes