CLASSIFICATION OF SPACETIMES ACCORDING TO CONFORMAL KILLING VECTORS
K. Saifullah
Abstract
Open-access reader
K. Saifullah
Abstract
Open-access reader
Conformal Killing vectors (CKVs) preserve the spacetime metric up to a factor. Homothetic vectors and Killing vectors are special cases of CKVs. Classification of some classes of spacetimes on the basis of CKVs give interesting results showing how homothetic and Killing vectors which form subsets of the set of CKVs can be recovered as a result of the above classification.
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Conformal Killing vectors (CKVs) preserve the spacetime metric up to a factor. Homothetic vectors and Killing vectors are special cases of CKVs. Classification of some classes of spacetimes on the basis of CKVs give interesting results showing how homothetic and Killing vectors which form subsets of the set of CKVs can be recovered as a result of the above classification.
Key concepts: Homothetic transformation, Killing vector field, Conformal map, Metric (unit), Spacetime, Set (abstract data type), Basis (linear algebra), Mathematics