An ultrahyperbolic analogue of the RobinsonKerr theorem
Abstract
There is an SO(3, 3)invariant integral transform mapping volume forms on &R; P ^{3} into twoforms on the conformal compactification of &R;^{2.2}. The range of this transform is the space selfdual solutions of the &R;^{2.2} Maxwell's equations. Moreover, using this transform, one gets a simple description of the null solutions of Maxwell's equations, analogous to the RobinsonKerr description of the null solutions of Maxwell's equations on &R;^{3, 1}.
 Publication:

Letters in Mathematical Physics
 Pub Date:
 July 1986
 DOI:
 10.1007/BF00400297
 Bibcode:
 1986LMaPh..12....1G