Memory effect &amp; Carroll symmetry, 50 years later

Elbistan, M.; Zhang, P.-M.; Horvathy, P.A.

doi:10.1016/j.aop.2023.169535

Cited by 2 publications

(1 citation statement)

References 53 publications

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“…Thus, pp-wave spacetimes represent a simplified but valuable model to analyze memory effects in the fully non-linear regime. So far, all investigations have confirmed that after the passage of a pp-wave, a couple of test particles with vanishing initial relative velocity escape from each other at a constant relative velocity, providing a realization of the velocity memory effect 3 [43][44][45][46][47][48][49][50]. However, it has been repeatedly argued that no displacement memory effect can take place in such vacuum pp-wave 4 [43,44].…”

Section: Jcap08(2024)004mentioning

confidence: 98%

Displacement versus velocity memory effects from a gravitational plane wave

Achour,

Uzan

2024

J. Cosmol. Astropart. Phys.

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This article demonstrates that additionally to the well-known velocity memory effect, a vacuum gravitational plane wave can also induce a displacement memory on a couple of test particles. A complete classification of the conditions under which a velocity or a displacement memory effect occur is established. These conditions depend both the initial conditions of the relative motion and on the wave profile. The two cases where the wave admits a pulse or a step profile are treated. Our analytical expressions are then compared to numerical integrations to exhibit either a velocity or a displacement memory, in the case of these two families of profiles. Additionally to this classification, the existence of a new symmetry of polarized vacuum gravitational plane wave under Möbius reparametrization of the null time is demonstrated. Finally, we discuss the resolution of the geodesic deviation equation by means of the underlying symmetries of vacuum gravitational plane wave.

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Section: Jcap08(2024)004mentioning

confidence: 98%

Displacement versus velocity memory effects from a gravitational plane wave

Achour,

Uzan

2024

J. Cosmol. Astropart. Phys.

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Conformally related vacuum gravitational waves and their symmetries

Zhao,

Zhang,

Horváthy

2024

J. High Energ. Phys.

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A special conformal transformation which carries a vacuum gravitational wave into another vacuum one is built by using Möbius-redefined time. It can either transform a globally defined vacuum wave into a vacuum sandwich wave, or carry the gravitational wave into itself. The first type, illustrated by linearly and circularly polarised vacuum plane gravitational waves, permutes the symmetries and the geodesics. Our second type is a pp wave with conformal O(1, 2) symmetry. An example inspired by molecular physics which seems to have escaped attention so far is an anisotropic generalisation of the familiar inverse-square profile and is reminiscent of Aichelburg-Sexl ultraboosts. The particle can escape, or perform circular periodic motion, or fall into the singularity.

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Memory effect & Carroll symmetry, 50 years later

Cited by 2 publications

References 53 publications

Displacement versus velocity memory effects from a gravitational plane wave

Displacement versus velocity memory effects from a gravitational plane wave

Conformally related vacuum gravitational waves and their symmetries

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