Killing tensor

A Killing tensor, named after Wilhelm Killing, is a symmetric tensor, known in the theory of general relativity, $K$ that satisfies

where the parentheses on the indices refer to the symmetric part.

This is a generalization of a Killing vector. While Killing vectors are associated with continuous symmetries (more precisely, differentiable), and hence very common, the concept of Killing tensor arises much less frequently. The Kerr solution is the most famous example of a manifold possessing a Killing tensor.

单词	Killing tensor
释义	Killing tensor 英语百科 Killing tensor A Killing tensor, named after Wilhelm Killing, is a symmetric tensor, known in the theory of general relativity, $K$ that satisfies where the parentheses on the indices refer to the symmetric part. This is a generalization of a Killing vector. While Killing vectors are associated with continuous symmetries (more precisely, differentiable), and hence very common, the concept of Killing tensor arises much less frequently. The Kerr solution is the most famous example of a manifold possessing a Killing tensor.
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