Localised Solutions of the Maxwell-Dirac Equations

Details Localised Solutions of the Maxwell-Dirac Equations Localised Solutions of the Maxwell-Dirac Equations

1995-10-11

arxiv.org/abs/hep-th/9510065v1

J.Math.Phys.37:4418-4433,1996

Physics

High Energy Physics

High Energy Physics - Theory

LaTex, 18 pages with psfig; 3 .ps files encoded with uufiles

Scientific paper

10.1063/1.531663

The full ``classical" Dirac-Maxwell equations are considered under various simplifying assumptions. A reduction of the equations is performed in the case when the Dirac field is {\em static} and a further reduction is performed in the case of {\em spherical symmetry}. These static spherically symmetric equations are examined in some detail and a numerical solution presented. Some surprising results emerge: * Spherical symmetry necessitates the existence of a magnetic monopole. * There exists a uniquely defined solution, determined only by the demand that the solution be analytic at infinity. * The equations describe highly compact objects with an inner onion-like shell structure.

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