Abstract
The concept of conformai dynamical symmetry (CDS) is introduced as a basic tool for the analysis of null geodesic motion. CDSs are characterized as generators of Jacobi fields along null geodesies. Methods for the construction of CDS's based on the connections between CDSs and conformai Killing tensors or on the behavior of CDSs under conformai transformations are then discussed. Finally, a comprehensive analysis of conserved quantities canonically related to CDSs is given.
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Caviglia, G. Symmetry generators for null geodesic motion. Gen Relat Gravit 16, 283–292 (1984). https://doi.org/10.1007/BF00762542
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DOI: https://doi.org/10.1007/BF00762542