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arXiv · 1602.08968

Killing tensors in stationary and axially symmetric space-times

Andreas Vollmer
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Abstract

We discuss the existence of Killing tensors for certain (physically motivated) stationary and axially symmetric vacuum space-times. We show nonexistence of a nontrivial Killing tensor for a Tomimatsu-Sato metric (up to valence 7), for a C-metric (up to valence 9) and for a Zipoy-Voorhees metric (up to valence 11). The results are obtained by mathematically completely rigorous, nontrivial computer algebra computations with a huge number of equations involved in the problem.

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BibTeXRIS

Andreas Vollmer. 2016-02-29. Killing tensors in stationary and axially symmetric space-times. https://doi.org/10.1016/j.geomphys.2016.09.009

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