When an electromagnetic wave propagates through space, the space returns to its original state after the wave passes. When a gravitational wave travels past a point, theoretically, a "scar" is left in spacetime, a memory of the gravitational wave. Spacetime may not return to it's former state. Gravitational waves are very difficult to detect, and these "scars" are an order of magnitude more difficult, but it just may be possible.

Gravitational waves may leave a lasting mark on the universe. (Image credit: Shutterstock)
https://www.livescience.com/65441-gravitational-wave-memory.html
https://en.wikipedia.org/wiki/Gravitational_memory_effect