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Re:Gravitational waves should permanently distort space-time by jleahy on Wednesday December 08, 2021 @04:37PM (#29490854)
Unfortunately that’s not how they behave at all. See some of the references posted by others in other comments. Intuition doesn’t really work at all here.
Re:Gravitational waves should permanently distort space-time by cobaltoxide on Wednesday December 08, 2021 @06:46PM (#29492104)
Agree with jleahy.

I would add that considering counterfactual situations like "if the sun were to move instantly to the right" is of limited utility. That cannot happen (violates conservation of momentum). (Granted, other thought experiments have been quite influential in this field...)