DrPizza
Administrator Elite Member Goat Whisperer
Sorry I didn't have a chance to expand earlier - Gravity moves at c is in Einstein's general relativity. For the most part, it has been tested (well, to be more precise, it has been inferred from real data) - if it wasn't at c, then the precession of Mercury's perihelion in its orbit wouldn't match what his theory predicts. If I remember my history correctly, Newtonian mechanics couldn't explain the discrepancy of Mercury's orbit, but Einstein's predicted it to a pretty high degree of accuracy - an observation that led to people giving his theory credit.
Yes, gravity waves should also exhibit doppler shifts. I haven't seen anything in the articles about LIGO's discovery, but when they announced a distance away to where the two black holes would have been, I assumed that they had calculated it using a doppler shift. That is, a certain pattern would be expected for such an event, and they saw the fingerprint of that event, but at a shifted frequency from what would be observed in the immediate vicinity of the event. (Of course, too immediate of a vicinity would be pretty bad news for the observer, who would unlikely survive witnessing the merger.)
Yes, gravity waves should also exhibit doppler shifts. I haven't seen anything in the articles about LIGO's discovery, but when they announced a distance away to where the two black holes would have been, I assumed that they had calculated it using a doppler shift. That is, a certain pattern would be expected for such an event, and they saw the fingerprint of that event, but at a shifted frequency from what would be observed in the immediate vicinity of the event. (Of course, too immediate of a vicinity would be pretty bad news for the observer, who would unlikely survive witnessing the merger.)