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New Trends in Mathematical and Theoretical Physics
October 3, 2016 17:50, Moscow, MIAN, Gubkina, 8
 


Field-particle structures explicitly defined by any shear-free null congruence

Vladimir Kassandrov

Institute of Gravitation and Cosmology
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MP4 713.4 Mb
MP4 181.1 Mb

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Vladimir Kassandrov
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Abstract: 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.

Language: English

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