General Solution of the Complex 4-Eikonal Equation and the "Algebrodynamical" Field Theory
Kassandrov, Vladimir V.
arXiv, 0311006 / Harvested from arXiv
Text on arXiv
We explicitly demonstrate the existence of twistor and ambitwistor structure for the 4-dimensional complexified eikonal equation (CEE) and present its general solution consisting of two different classes. For both, every solution can be obtained from a generating twistor function in a purely algebraic way, via the procedure similar to that used in the Kerr theorem for shear-free null congruences. Bounded singularities of eikonal or of its gradient define some particle-like objects with nontrivial characteristics and dynamics. Example of a new static solution to CEE with a ring-like singularity is presented, and general principles of algebraic field theory - algebrodynamics - closely related to CEE are briefly discussed.
Publié le : 2003-11-05
Classification:  Mathematical Physics 
@article{0311006,
     author = {Kassandrov, Vladimir V.},
     title = {General Solution of the Complex 4-Eikonal Equation and the
  "Algebrodynamical" Field Theory},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0311006}
}

Kassandrov, Vladimir V. General Solution of the Complex 4-Eikonal Equation and the
  "Algebrodynamical" Field Theory. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0311006/