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The verification of Killing tensor components for metrics in general relativity using the computer algebra system SHEEP

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Abstract

We report on a program, written in the computer algebra system SHEEP, for verifying the components of Killing tensors and conformal Killing tensors. We give some examples, including the components of the Killing tensor admitted by the Kerr metric. We also note that the explicit form of all conformal Killing tensors for a subclass of the Petrov typeD solutions is known.

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  1. G. C. Joly

    Present address: Department of Computer Science, Birkbeck College, Malet Street, WC1E 7HX, London, UK

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  1. School of Mathematical Sciences, Queen Mary College, Mile End Road, El 4NS, London, UK

    G. C. Joly

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  1. G. C. Joly
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Joly, G.C. The verification of Killing tensor components for metrics in general relativity using the computer algebra system SHEEP. Gen Relat Gravit 19, 841–845 (1987). https://doi.org/10.1007/BF00768218

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  • DOI: https://doi.org/10.1007/BF00768218

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