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So what actual physical event would allow us to observe the speed of gravity?

Physics Asked on November 12, 2020

I have read, if the sun disappeared it would take 8 minutes before this could be detected on Earth due to speed of gravity being $c$. Of course, the sun can’t disappear. Perhaps realizing this impossibility, people write of the sun exploding instead. But if the sun literally exploded the mass would still be present for a while, just dispersed.

So what actual physical event would allow us to observe the speed of gravity? If rotating massive objects, how? And if the sun exploding would allow this observation, how so?

2 Answers

You need to have a changing quadrupole moment in order to see gravitational waves. A spherical explosion would not produce any gravitational waves at all, so exploding is not the answer.

What you would want is to collapse the sun into two half-suns and then have the two half-suns spin around each other very rapidly. Of course, that wouldn’t conserve angular momentum so you would probably have to make two pairs and have them counter-rotate

Answered by Dale on November 12, 2020

Colliding stars and merging black holes produce gravitational waves that we have detected. Occasionally we have been able to locate the source and correlate it with electromagnetic emission. By comparing time of arrival of the two signals and knowing the distance to the source - and knowing the composition of the intervening space - we can compare the speed of the gravitational and electromagnetic signals.

The last section of this Wikipedia article describes such an event.

Answered by S. McGrew on November 12, 2020

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