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A unified description of null and non-null shear-free congruences
I. M. Benn
Source abstract
A simple tensor equation is given that is satisfied by null vectors if and only if they are proportional to shear-free geodesics. Non-null vectors satisfy this equation if and only if they can be normalized to shear-free unit vectors. Thus this equation unifies the treatment of the null and non-null cases. Conformal properties of the shear-free condition and this tensor equation are discussed.
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