Flux Tube Solution in 5D Kaluza-Klein Theory

Abstract

Spherically symmetric, vacuum solutions in 5D and 7D Kaluza-Klein theory are obtained. These solutions are flux tubes with constant cross-sectional size, located between (+) and (-) Kaluza-Klein's ``electrical'' and ``magnetic'' charges disposed respectively at $\pm \infty$ and filled by constant Kaluza-Klein ``electrical'' and ``magnetic'' fields. These objects are surprisingly similar to the flux tubes which forms between two monopoles in Type-II superconductors and also the hypothesized color field flux tube that is thought to form between two quarks in the QCD vacuum.

8 pages, revtex, Title changed, references added and discussion of 7D solution given. To be published in CQG

References in corpus (2)

• Multidimensional Geometrical Model of the Renormalized Electrical Charge with Splitting off the Extra Coordinates
• Multidimensional Gravity on the Principal Bundles

Cited by in corpus (14)

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• Ellipsoidal, Cylindrical, Bipolar and Toroidal Wormholes in 5D Gravity
• Locally Anisotropic Wormholes and Flux Tubes in 5D Gravity
• Anholonomic Frames, Generalized Killing Equations, and Anisotropic Taub NUT Spinning Spaces
• Warped, Anisotropic Wormhole/Soliton Configurations in Vacuum 5D Gravity
• Hiding and Confining Charges via "Tube-like" Wormholes
• Dyonic Wormholes in 5D Kaluza-Klein Theory
• Gravitational Flux Tubes
• Fully Explorable Horned Particles Hiding Charge
• Wormholes and Flux Tubes in the 7D Gravity on the Principal Bundle with SU(2) Gauge Group as the Extra Dimensions
• Experimental test for extra dimensions in Kaluza-Klein gravity
• Gravitational Model of the String
• Experimental test for 5th dimension in Kaluza-Klein gravity
• Spherically Symmetric solutions in Multidimensional Gravity with the SU(2) Gauge Group as the Extra Dimensions