Velocity Memory Effect for Polarized Gravitational Waves

Abstract

Circularly polarized gravitational sandwich waves exhibit, as do their linearly polarized counterparts, the Velocity Memory Effect: freely falling test particles in the flat after-zone fly apart along straight lines with constant velocity. In the inside zone their trajectories combine oscillatory and rotational motions in a complicated way. For circularly polarized periodic gravitational waves some trajectories remain bounded, while others spiral outward. These waves admit an additional "screw" isometry beyond the usual five. The consequences of this extra symmetry are explored.

21 pages, 11 figures. To be published in JCAP

References in corpus (10)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence
• The gravitational-wave memory effect
• Screw-symmetric gravitational waves: a double copy of the vortex
• Global aspects of radiation memory
• Gaia-like astrometry and gravitational waves
• Memory Effect for Impulsive Gravitational Waves
• Kohn's Theorem, Larmor's Equivalence Principle and the Newton-Hooke Group
• The global existence, uniqueness and C^1-regularity of geodesics in nonexpanding impulsive gravitational waves
• Axial gravitational waves in FLRW cosmology and memory effects

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