It's spacetime that's being distorted by the gravitational wave; there is no separate "time distortion" and "space distortion". The experimental fact is that the relative phase of the two laser beams changes as the wave passes through. We can explain this experimental fact by saying that the distances covered by the beams change slightly as the wave passes through, or that the amount of time that passed for the two beams is slightly different, or as a combination of those effects. All such explanations are equivalent - they're just different words wrapped around the same distortion of spacetime.If I wanted to measure the time distortion....
To talk about the time distortion of gravitational waves, we'd need to be able to separate time from space. This is essentially observer dependent in both special and general relativity. So we'd need more specifics to answer the question.Summary: Has/Can gravity wave time distortions be measured to any degree of accuracy as does LISA measures space distortions? If not, why not?
Has/Can gravity wave time distortions be measured to any degree of accuracy as does LISA measures space distortions? If not, why not?
AFAIK the standard coordinates in which, for example, LIGO is analyzed meet this requirement. In these coordinates, the observed interference fringes at the detector when a gravitational wave passes are entirely explained by "space distortion".I *think* it's possible to choose coordinates (harmonic coordinates) so that what I'd call the time distortions would vanish. What I mean by "no time distortion" is that proper time of the harmonic observers is equal to the coordinate time for said observers.