Starting from an intrinsic geometric characterization of de Sitter timelike and lightlike geodesics we give a new description of the conserved quantities associated with classical free particles on the de Sitter manifold. These quantities allow for a natural discussion of classical pointlike scattering and decay processes. We also provide an intrinsic definition of energy of a classical de Sitter particle and discuss its different expressions in various local coordinate systems and their relations with earlier definitions found in the literature.
S. Cacciatori, V. Gorini, A. Kamenshchik, U. Moschella (2008). Conservation laws and scattering for de Sitter classical particles. CLASSICAL AND QUANTUM GRAVITY, 25, 075008-075008 [10.1088/0264-9381/25/7/075008].
Conservation laws and scattering for de Sitter classical particles
KAMENCHTCHIK, ALEXANDR;
2008
Abstract
Starting from an intrinsic geometric characterization of de Sitter timelike and lightlike geodesics we give a new description of the conserved quantities associated with classical free particles on the de Sitter manifold. These quantities allow for a natural discussion of classical pointlike scattering and decay processes. We also provide an intrinsic definition of energy of a classical de Sitter particle and discuss its different expressions in various local coordinate systems and their relations with earlier definitions found in the literature.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.