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meaning of nontrivial Killing tensors?

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Thomas Riepe

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Jan 4, 2010, 6:41:43 AM1/4/10
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An book from the late 1970's by H. Stephani on general relativity
says that "a deeper understanding of the physical and geometrical
meaning of nontrivial Killing tensors and their corresponding
conservation laws has not been achieved so far". Has that been made
clearer by now and where could one read about it?
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