Видеотека: Vladimir Kassandrov, Field-particle structures explicitly defined by any shear-free null congruence

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Новые направления в математической и теоретической физике 3 октября 2016 г. 17:50, г. Москва, МИАН, ул. Губкина, д. 8

Field-particle structures explicitly defined by any shear-free null congruence Vladimir Kassandrov Institute of Gravitation and Cosmology
Аннотация: Celebrated Kerr theorem pus in correspondence twistor functions in $CP^3$ and shear-free null congruences in M. We demonstrate that any twistor function algebraically defines also a whole set of relativistic vacuum fields – Maxwell, Yang-Mills, Weyl and eikonal ones, together with a Kerr-Shild metric. Common singularities of these fields possess some properties of quantum particles (e.g., the integer-valued electric charges) and are involved in a nontrivial “algebraic” dynamics. The latter turns out to be conservative for a wide class of holomorphic generating twistor funcions. Язык доклада: английский