Conserved Quantities of Spinning Test Particles in General Relativity. II

Details Conserved Quantities of Spinning Test Particles in General Relativity. II Conserved Quantities of Spinning Test Particles in General Relativity. II

Jan 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983rspsa.385..229r&link_type=abstract

Proceedings of The Royal Society of London. Series A, Mathematical and Physical Sciences, Volume 385, Issue 1788, pp. 229-239

Physics

5

Scientific paper

In this paper, which completes earlier work on conserved quantities of spinning test particles in general relativity (Rudiger 1981a), quadratic conserved quantities are considered. It is shown that by a suitable change of variables the trivial conserved quantities, which result from a reducible Killing tensor, can essentially be separated from the non-trivial quantities. If the equations of motion are linearized in the spin, it is shown that non-trivial quantities of this type can be constructed for two classes of space-times including the Kerr geometry and the Friedman universe.

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