Determining the number of Killing tensors by (linear) algebra

Authors

  • Andreas Vollmer

DOI:

https://doi.org/10.1285/i15900932v37suppl1p187

Keywords:

Killing tensor, integral of motion, prolongation-projection method

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.

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Published

24-05-2017

Issue

Volume 37, suppl. 1 (2017)

Section

Articoli

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