Shearfree congruences of null geodesies and killing tensors

Computer Science

Scientific paper

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Scientific paper

In this communication, the mutual connections between quantities that are generalizations of the notion of a Killing vector field are investigated. A classification of these quantities in terms of a complex vector fieldα a is given. A common feature of all these quantities is that they imply the existence of a pair of shearfree geodetic null congruences. There are no explicit restrictions posed on the Ricci tensor.

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