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This document provides solutions to problems involving Killing vectors and general relativity. (1) It is shown that the commutator of two Killing vectors and linear combinations of Killing vectors are also Killing vectors. Identities involving covariant derivatives of Killing vectors are derived. (2) The three Killing vectors on a 2-sphere are found by solving the Killing equation. It is shown that the commutators of these Killing vectors satisfy properties of a Lie algebra.

Author

Anonymous gCma44RJU

Language

EN