
doi: 10.1063/1.528627
It is shown how to construct symmetries of the geodesic equation starting from space-time symmetries. The constants of motion associated with space-time symmetries are recovered and a few new ones are found using non-Noetherian conservation theorems. Explicit examples are presented.
Local differential geometry of Lorentz metrics, indefinite metrics, geodesic symmetries, symmetry maps, constants of motion, Equations of motion in general relativity and gravitational theory, conservation theorems, Applications of global differential geometry to the sciences
Local differential geometry of Lorentz metrics, indefinite metrics, geodesic symmetries, symmetry maps, constants of motion, Equations of motion in general relativity and gravitational theory, conservation theorems, Applications of global differential geometry to the sciences
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