Weighted decay conditions on the Brinkmann profile A(U) classify asymptotic motions into strongly free, weakly free, and non-free regimes, with the weak regime preserving displacement memory via an intrinsic curvature effect.
Approximate Models for Gravitational Memory
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abstract
The large-distance approximation of a sandwich gravitational wave by a continuous but not necessarily smooth profile provides us with an approximate analytic description of particle motion in a gravitational wave as spelled out for the Poschl-Teller profile. Displacement Memory is obtained by fine-tuning the amplitude. The role of the 2nd solution of the Sturm-Liouville equation is highlighted. Similar results hold for a Gaussian and simple square profiles. Our approximate models are consistent with Carroll symmetry.
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gr-qc 1years
2026 1verdicts
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Decay criteria for asymptotic freedom in plane gravitational waves
Weighted decay conditions on the Brinkmann profile A(U) classify asymptotic motions into strongly free, weakly free, and non-free regimes, with the weak regime preserving displacement memory via an intrinsic curvature effect.