A magnetic-monopole-type solution in the Poincare gauge field theory of gravity

Mathematics – Logic

Scientific paper

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Cosmology, Gauge Theory, Gravitation Theory, Magnetic Monopoles, Unified Field Theory, Yang-Mills Fields, Bosons, Coupling Coefficients, Poincare Problem, Relativity, Space-Time Functions

Scientific paper

In a microscopical theory of gravity the coupling of internal gage degrees of freedom to those of space-time are studied. A magnetic-monopole-type solution for the coupled SO(3) Yang-Mills-Higgs system in a space-time with curvature and torsion is derived. The coupling constant of the Lorentz gage bosons can be related directly to the (constant) Higgs field and to the 'cosmological constant' which is induced by the quadratic curvature terms in the Lagrangian. This reveals a new interpretation of the parameters entering the general Lagrangian density of the Poincare gage field theory (PG).

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