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Determining the number of Killing tensors by (linear) algebra


Abstract


It is a natural problem to determine the number of independent Killing tensors of a certain rank that a given metric admits. In this paper, it is discussed how this problem can be addressed in a computer-algebraic way. Pseudo-Riemannian metrics expressed in local coordinates are considered, with and without parameter dependence. No assumption is made about analyticity of the Killing tensors.

DOI Code: 10.1285/i15900932v37suppl1p187

Keywords: Killing tensor; integral of motion; prolongation-projection method

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