Ion Traps and the Memory Effect for Periodic Gravitational Waves

Abstract

The Eisenhart lift of a Paul Trap used to store ions in molecular physics is a linearly polarized periodic gravitational wave. A modified version of Dehmelt's Penning Trap is in turn related to circularly polarized periodic gravitational waves, sought for in inflationary models. Similar equations rule also the Lagrange points in Celestial Mechanics. The explanation is provided by anisotropic oscillators.

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Cited by in corpus (16)

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• Embedding Galilean and Carrollian geometries I. Gravitational waves
• Memory, Penrose Limits and the Geometry of Gravitational Shockwaves and Gyratons
• Scaling and conformal symmetries for plane gravitational waves
• From polarized gravitational waves to analytically solvable electromagnetic beams
• Trapping and guiding bodies by gravitational waves endowed with angular momentum
• Niederer's transformation, time-dependent oscillators and polarized gravitational waves
• Particle motion in circularly polarized vacuum pp waves
• Gravitational Waves and Conformal Time Transformations
• Memory Effect and Carroll Symmetry: 50 years later
• The Work-Energy Relation for Particles on Geodesics in the pp-Wave Spacetimes
• Non-linear Plane Gravitational Waves as Space-time Defects
• Gravitational wave memory and its effects on particles and fields
• Various disguises of the Pais-Uhlenbeck oscillator
• Energy-momentum and angular-momentum of a gyratonic pp-waves spacetime
• Circularly polarized periodic gravitational wave and the Pais-Uhlenbeck oscillator