Abstract
The formalism developed by Fayos and Sopuerta for isometries in vacuum spacetimes is generalized in three ways: to include the case of homotheties, to allow for a tetrad not aligned to the symmetry structure and to allow for a non-normalized tetrad. The new formalism is used to recover results by McIntosh and also applied to the particular cases of Robinson–Trautman and Kundt type N.
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