Polish Theatre of Transformation

Kosiński, Dariusz

doi:10.15229/ptp.polish.theatre.of.transformation

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Symmetries Of Circularly Polarised Periodic Waves1

Jcap05(2018)0301

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2018

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“…A nice insight is due to P. Kosinski [37] to whom we are grateful for allowing us to include the following. From the Bargmann point of view [29,30] the profile (V.1) describes an anisotropic oscillator in the transverse plane with time-dependent frequency.…”

Section: Symmetries Of Circularly Polarised Periodic Wavesmentioning

confidence: 99%

“…they belong to the Bargmann group (itself a subgroup of the Poincaré group), but not to its Carroll subgroup (for which U is fixed). A nice insight is due to P. Kosinski [40] to whom we are grateful for allowing us to include the following. From the Bargmann point of view [31][32][33] the profile (5.1) describes an anisotropic oscillator in the transverse plane with time-dependent frequency.…”

Section: Jcap05(2018)030mentioning

confidence: 99%

See 1 more Smart Citation

Velocity Memory Effect for polarized gravitational waves

Zhang

Duval

Gibbons

et al. 2018

J. Cosmol. Astropart. Phys.

107

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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. JCAP (to be published)

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Section: Symmetries Of Circularly Polarised Periodic Wavesmentioning

confidence: 99%