Abstract
All the algebraically special, wave-like solutions of Einstein’s equations so far discovered admit hypersurface-orthogonal propagation vectors. Little is known about metrics with curling propagation vectors. Even in electrodynamics, few solutions of this type have been exhibited. This note presents a method of constructing classes of new solutions to linear, special relativistic partial differential equations. In particular, the method may be used to produce null, curling solutions of Maxwell’s and linearized Einstein’s equations. It consists in a generalization of a procedure used by Synge to obtain regular wave-packets from the fundamental solution (
t
2
-
x
2
-
y
2
-
z
2
)
-1
(Synge 1960
a, b
)
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25 articles.
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