Spherically symmetric static space-times which admit stationary Killing tensors of rank two
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- I. Hauser
- Department of Physics, Illinois Institute of Technology, Chicago, Illinois 60616
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- R. J. Malhiot
- Department of Physics, Illinois Institute of Technology, Chicago, Illinois 60616
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説明
<jats:p>All spherically symmetric static space-times for which a nonredundant stationary Killing tensor of rank two exists are found and discussed. The results include explicit forms for the line elements, the Killing tensors, and the corresponding quadratic constants of geodesic motion. Included as special cases are relativistic analogs of the Lenz vector and of the quadratic constant of the motion peculiar to the spatial harmonic oscillator.</jats:p>
収録刊行物
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- Journal of Mathematical Physics
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Journal of Mathematical Physics 15 (6), 816-823, 1974-06-01
AIP Publishing