I heard that gravitational wave is the measure of stretchiness of space time, so since there is no limit to how fast space can stretch what about gravitational wave?
Answer
Assuming space really stretches and say it does so at Faster Than Light -
The gravitational wave in an FTL-stretching space would lose its amplitude as the wave itself will stretch with space. Wave is space, it is not an object (bound) so it will stretch with space. Its wavelength will also increase at the same time.
Therefore, part wave will travel/stretch at FTL, but not due to the wave nature, but only due to stretching space. Soon it would lose all the amplitude and spread too thin to be called a wave anymore.
Now, can we use presence of gravitational wave as an evidence that space is not stretching at FTL? Because, if it were, then the GW in a stretching space would die soon.
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