Algebrodynamical Approach in Field Theory: Bisingular Solution and its Modifications

Details Algebrodynamical Approach in Field Theory: Bisingular Solution and its Modifications Algebrodynamical Approach in Field Theory: Bisingular Solution and its Modifications

1998-09-28

arxiv.org/abs/gr-qc/9809078v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, 2 figures, LaTeX 2e, Int. Summer school "Volga-10", Kazan, 1998

Scientific paper

The criterion of differentiability of functions of quaternion variable is used as the basis of some algebraic field theory. Its necessary consequences are free Maxwell and Yang-Mills equations. The differentiability equations may be integrated in twistor variables and are reduced to algebraic ones. In the article we present bisingular solution and its topological modifications. Related EM-fields appear to be just the well-known Born solution and its modifications with singular structure of ring-like and toroidal topology. General problems of the algebrodynamical approach are discussed.

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