Stress systems in aeolotropie plates. VI
- 21 August 1945
- journal article
- Published by The Royal Society in Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- Vol. 184 (998) , 289-300
- https://doi.org/10.1098/rspa.1945.0021
Abstract
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.Keywords
This publication has 2 references indexed in Scilit:
- Der räumliche Spannungszustand in UmdrehungskerbenArchive of Applied Mechanics, 1935
- Zur Theorie der Kerbwirkung bei Biegung und SchubArchive of Applied Mechanics, 1934