Homothetic motions with null homothetic bivectors in general relativity

Physics

Scientific paper

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Scientific paper

It is shown that if a nonflat vacuum space-time admits a homothetic
vector field with a null homothetic bivector then that space-time is
algebraically special. If that homothetic vector field is a nontrivial
one (not a Killing one) then the space-time is Petrov type III or N.

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