On Boost-Invariant Solutions of Relativistic Field Equations

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Abstract


Twistorial algebraic methods to obtain solutions of the vacuum Maxwell equations, with complicated structure of singular loci, are described. The notion of boost-invariant solutions, with the field functions preserving their values under a hyperbolic rotation, is introduced. It is proved that, among the twistor-generated solutions, only the bisingular Born solution and the two its known modifications (with a double-ring and an expanding toroidal singularities) are axisymmetric and boost invariant at the same time.

About the authors

V V Kassandrov

Peoples Friendship University of Russia

Институт гравитации и космологии; Российский университет дружбы народов; Peoples Friendship University of Russia

A V Tretyakova

Peoples Friendship University of Russia

Институт гравитации и космологии; Российский университет дружбы народов; Peoples Friendship University of Russia

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Copyright (c) 2009 Кассандров В.В., Третьякова А.В.

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