How does the amplitude of a gravitational wave change as it propagates over vast interstellar distances?

Answer

It decreases inversely with the distance from the source.

As the wave travels over cosmic distances, its amplitude—the amount of stretching and squeezing—decreases inversely with the distance from the source, leading to rapid dilution.

How does the amplitude of a gravitational wave change as it propagates over vast interstellar distances?
propagationspacetimewavegravitational wave