Conformal Einstein spaces.

Physics

Scientific paper

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Gravitation Theory:Einstein Universe

Scientific paper

The authors study conformal transformations in four-dimensional manifolds. In particular, they present a new set of two necessary and sufficient conditions for a space to be conformal to an Einstein space. The first condition defines the class of spaces conformal to C spaces, whereas the last one (the vanishing of the Bach tensor) gives the particular subclass of C spaces which are conformally related to Einstein spaces.

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