Gravitation and Cosmology

, Volume 20, Issue 3, pp 171–175 | Cite as

Cylindrically and axially symmetric wormholes. Throats in vacuum?

  • K. A. Bronnikov
  • M. V. Skvortsova


This brief review discusses the existence conditions of wormhole throats and wormholes as global configurations in general relativity under the assumptions of cylindrical and axial symmetries. It is pointed out, in particular, that wormhole throats can exist in static, cylindrically symmetric space-times under slightly different conditions as compared with spherical symmetry. In cylindrically symmetric spacetime with rotation, throats can exist in the presence of ordinary matter or even in vacuum; however, there are substantial difficulties in obtaining asymptotically flat wormhole configurations without exotic matter: such examples are yet to be found. Some features of interest are discussed in static, axially symmetric configurations, including wormholes with singular rings and wrongly seeming regular wormhole throats in the Zipoy-Voorhees vacuum space-time.


Black Hole Cosmic String Null Energy Condition Exotic Matter Rotate Reference Frame 
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Copyright information

© Pleiades Publishing, Ltd. 2014

Authors and Affiliations

  1. 1.Center for Gravitation and Fundamental MetrologyVNIIMSMoscowRussia
  2. 2.Institute of Gravitation and CosmologyPFURMoscowRussia
  3. 3.I. Kant Baltic Federal UniversityKaliningradRussia

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