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Conformal Killing vectors (CKVs) preserve the spacetime metric up to afactor. Homothetic vectors and Killing vectors are special cases of CKVs.Classification of some classes of spacetimes on the basis of CKVs giveinteresting results showing how homothetic and Killing vectors which formsubsets of the set of CKVs can be recovered as a result of the aboveclassification.

Classification of spacetimes according to conformal Killing vectors