The nonlinear Klein-Gordon-Maxwell equations provide models for the interaction between the electromagnetic field and matter. We assume that the nonlinear term W is positive and W(0) = 0. This fact makes the theory more suitable for physical models (for example models in supersymmetry theory and in cosmology; see e.g. [16,22,28] and their references). A three dimensional vortex is a finite energy, stationary solution of the Klein-Gordon- Maxwell equations such that the matter field has nontrivial angular momentum and the magnetic field looks like the field created by a finite solenoid. Under suitable assumptions, we prove the existence of three dimensional vortex-solutions
Spinning Q-balls for the Klein-Gordon-Maxwell equations
FORTUNATO, Donato
2010-01-01
Abstract
The nonlinear Klein-Gordon-Maxwell equations provide models for the interaction between the electromagnetic field and matter. We assume that the nonlinear term W is positive and W(0) = 0. This fact makes the theory more suitable for physical models (for example models in supersymmetry theory and in cosmology; see e.g. [16,22,28] and their references). A three dimensional vortex is a finite energy, stationary solution of the Klein-Gordon- Maxwell equations such that the matter field has nontrivial angular momentum and the magnetic field looks like the field created by a finite solenoid. Under suitable assumptions, we prove the existence of three dimensional vortex-solutionsI documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
