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.
Displacement within velocity effect in gravitational wave memory,
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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.