Abelian model of gravitating magnetic monopole

Details Abelian model of gravitating magnetic monopole Abelian model of gravitating magnetic monopole

Dec 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985gregr..17.1177b&link_type=abstract

General Relativity and Gravitation (ISSN 0001-7701), vol. 17, Dec. 1985, p. 1177-1187.

Mathematics

Logic

1

Abel Function, Gauge Theory, Gravitational Fields, Magnetic Monopoles, Particle Theory, Unified Field Theory, Charged Particles, Homology, Self Consistent Fields, Topology

Scientific paper

A self-consistent U(1)-gauge model in gravitational field is investigated. The exact solutions for two types of corresponding field equations are obtained. These solutions can be interpreted as magnetic monopoles. The first solution is regular geometry, the second one has a physical singularity. In order to guarantee the stability of the monopoles the notion of a gravitational topological change based on de Rham's cohomology theory is introduced. This topological charge describes the sizes and the inner structure of the monopole.

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