General Solution of the Complex 4-Eikonal Equation and the "Algebrodynamical" Field Theory
| dc.creator | Kassandrov, Vladimir V. | |
| dc.date | 2003-11-05 | |
| dc.date.accessioned | 2026-07-07T04:30:42Z | |
| dc.date.available | 2026-07-07T04:30:42Z | |
| dc.description | 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. | |
| dc.description | 6 pages, no figures. Proceedings of the V Asian-Pasific Conference on the Gravitation and Astrophysics, Moscow, September 2001 | |
| dc.identifier | https://arxiv.org/abs/math-ph/0311006 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0311006 | |
| dc.identifier | Grav.Cosmol. 8 (2002) 57-62 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/57555 | |
| dc.subject | Mathematical Physics | |
| dc.title | General Solution of the Complex 4-Eikonal Equation and the "Algebrodynamical" Field Theory | |
| dc.type | text |