定常轴对称时空中的Killing张量
Killing tensors in stationary and axially symmetric space-times
摘要：
我们讨论了某些（物理动机）静止且轴对称真空时空中Killing张量的存在性。我们证明了非平凡的Killing张量的Tomimatsu-Sato度量（高达7价），C-度量（高达9价）和Zipoy-Voorhees度量（高达11价）的不存在。结果是通过数学上完全严格的，非平凡的计算机代数计算与大量的方程参与的问题。
英文摘要：
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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