Showing papers by "Jerzy Lewandowski published in 1991"
TL;DR: In this article, the twistor equation is studied in a four-dimensional spacetime and all the metric tensors which locally admit a solution are found, either belonging to the Fefferman class or are given by the Trautman-Kerr-Schild anzatz by using a non-twisting null conformal Killing vector field in the Minkowski spacetime.
Abstract: The twistor equation is studied in a four-real-dimensional spacetime. All the metric tensors which locally admit a solution are found. They either belong to the Fefferman class or are given by the Trautman-Kerr-Schild anzatz by using a non-twisting null conformal Killing vector field in the Minkowski spacetime. The corresponding solutions are derived.
42 citations
TL;DR: In this paper, the Einstein equations Rmu v= Phi kmu kv, where kmu being tangent to a twisting shear-free congruence of null geodesics, are formulated as equations in a three-dimensional Cauchy-Riemann space.
Abstract: The Einstein equations Rmu v= Phi kmu kv, kmu being tangent to a twisting shear-free congruence of null geodesics, are formulated as equations in a three-dimensional Cauchy-Riemann space. If the NUT parameter M vanishes and the Cauchy-Riemann space is a hypersurface in C2 then the equations reduce to a single linear second-order equation. New gravitational solutions are found for the case of the Robinson congruence.
24 citations
TL;DR: Solutions of the Einstein equations with pure radiation fields, are obtained in a class of algebraically special metrics related to the Cauchy-Riemann spaces admitting a group of symmetries of Bianchi type as mentioned in this paper.
Abstract: Solutions of the Einstein equations with pure radiation fields, are obtained in a class of algebraically special metrics related to the Cauchy-Riemann spaces admitting a group of symmetries of Bianchi type VIh
12 citations