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Wormholes and flux tubes in 5D Kaluza-Klein theory

V. Dzhunushaliev*

D. Singleton†

  • Department of Physics VCU, Richmond, Virginia 23284-2000
  • Theoretical Physics Department KSNU, 720024, Bishkek, Kyrgyzstan

  • Department of Physics, CSU Fresno, 2345 East San Ramon Avenue M/S 37 Fresno, California 93740-8031

  • *Email address: dzhun@freenet.bishkek.su
  • †Email address: das3y@maxwell.phys.csufresno.edu
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Phys. Rev. D 59, 064018 – Published 12 February, 1999

DOI: https://doi.org/10.1103/PhysRevD.59.064018

Abstract

In this paper spherically symmetric solutions to 5D Kaluza-Klein theory, with “electric” and/or “magnetic” fields, are investigated. It is shown that the global structure of the spacetime depends on the relation between the “electrical” and “magnetic” Kaluza-Klein fields. For a small “magnetic” field we find a wormholelike solution. As the strength of the “magnetic” field is increased relative to the strength of the “electrical” field, the wormholelike solution evolves into a finite or infinite flux tube depending on the strength of the two fields. For the large “electric” field case we conjecture that this solution can be considered as the mouth of a wormhole, with the G55, G5t, and G5φ components of the metric acting as the source of the exotic matter necessary for the formation of the wormhole’s mouth. For the large “magnetic” field case a 5D flux tube forms, which is similar to the flux tube between two monopoles in type-II superconductors, or the hypothesized color field flux tube between two quarks in the QCD vacuum.

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Outline

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Phys. Rev. D 59, 064018– Published 12 February, 1999
  • Received 3 August 1998

© 1999 American Physical Society

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