Dual Metrics for a Class of Radiative Spacetimes

Abstract

Second rank non-degenerate Killing tensors for some subclasses of spacetimes admitting parallel null one-planes are investigated. Lichnérowicz radiation conditions are imposed to provide a physical meaning to spacetimes whose metrics are described through their associated second rank Killing tensors. Conditions under which the dual spacetimes retain the same physical properties are presented.

8 pages, LaTeX, Minor revisions in the wording in Sec.5. Typo corrected in references. Journ.-ref added

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