Magnetic Monopoles in Kaluza-Klein Theories

Apr, 1983
20 pages
Published in:
  • Nucl.Phys.B 226 (1983) 29-48
  • Published: 1983
Report number:
  • PRINT-83-0305 (PRINCETON)

Citations per year

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Abstract: (Elsevier)
We demonstrate that the five-dimensional Kaluza-Klein theory of unified gravity and electromagnetism admits soliton solutions. These are regular, static and stable solutions of the field equations which correspond, upon quantization, to particles. The solitons include magnetic monopoles, which obey the Dirac quantization condition, as well as magnetic dipoles which are topologically stable. The inertial mass of the solitons is typically of order m p / e , where m p is the Planck mass and e the electric charge. These solitons have bizarre gravitational interactions; in fact they exert no newtonian force on slowly moving test particles, thus they have zero gravitational mass. We explain how the inequality of the gravitational and inertial masses is due to the violation of Birkhoff's theorem in Kaluza-Klein theories and is consistent with the principle of equivalence.
  • Kaluza-Klein model
  • FIELD THEORY: FIVE-DIMENSIONAL
  • POSTULATED PARTICLE: MAGNETIC MONOPOLE
  • UNIFIED FIELD THEORY
  • GRAVITATION
  • ELECTROMAGNETIC INTERACTION
  • FIELD EQUATIONS: SOLITON
  • GAUGE FIELD THEORY: YANG-MILLS
  • CHARGE: TOPOLOGICAL
  • BOUNDARY CONDITION