Killing-Yano Symmetry for a Class of Space-Times Admitting Parallel Null 1-Planes

Abstract

A possible generalization of plane fronted waves with parallel rays (gpp-wave) falls into a more general class of metrics admitting parallel null 1-planes. For gpp-wave metric, the zero-curvature condition is given, the Killing-Yano tensors of order two and three are found and the corresponding Killing tensors are constructed. Henceforth, the compatibility between geometric duality and non-generic symmetries is presented.