Horváthy Péter (Tours University): Gravitational waves : Memory Effect, Carroll Symmetry & Ion Traps
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Description
Observing the motion of test particles in a Gravitational Wave (``Memory Effect'') could allow to detect the latter. Plane GWs admit a 5-parameter group of isometries identified recently with L\'evy-Leblond's ``Carroll'' group (1965) with broken rotations, which acts by symmetries for the particle subjected to the wave. Following Souriau (1973), the geodesic equations can be integrated using the associated conserved quantities.
