14 citations · 45 across the 9 of their papers we have counts for
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A nonstationary generalization of the Kerr congruence
Vladimir V. Kassandrov
Making use of the Kerr theorem for shear-free null congruences and of Newman's representation for a virtual charge ``moving'' in complex space-time, we obtain an axisymmetric time-…
Algebrodynamics in complex space-time and the complex-quaternionic origin of Minkowski geometry
Vladimir V. Kassandrov
We present a scheme of biquaternionic algebrodymamics based on a nonlinear generalization of the Cauchy-Riemann holomorphy conditions considered therein as fundamental field equati…
Twistor algebraic dynamics in complex space-time and physical meaning of hidden dimensions
Vladimir V. Kassandrov
We review the algebraic field theory based completely on a nonlinear generalization of the CR complex analiticity conditions to the noncommutative algebra of biquaternions. Any biq…
On the structure of general solution to the equations of shear-free null congruences
Vladimir V. Kassandrov
We demonstrate that the source of a shear-free null congruence is, generically, a world sheet of a singular string in the complex Minkowski space. In particular cases the string de…
Effective connections and fields associated with shear-free null congruences
V. V. Kassandrov, V. N. Trishin
A special subclass of shear-free null congruences (SFC) is studied, with tangent vector field being a repeated principal null direction of the Weyl tensor. We demonstrate that this…
Twistor and "weak" gauge structures in the framework of quaternionic analysis
Vladimir V. Kassandrov, Joseph A. Rizcallah
The earlier proposed conditions of (bi)quaternionic differentiability are nonlinear, give rize to the 2-spinor and the self-dual gauge structures and may be considered as the it ge…