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The speed of gravity
Does gravity travel at the speed of light?

Imagine there is a large mass $m_1$ (e.g. a star) 1 light-year away from us. It is stable, stationary relative to us and has been in place for a long time, much more than a year. A small mass $m_2$ (e.g. a proton) has just been created locally, 1 light-year away from $m_1$.

How much time does it take for $m_2$ to feel the gravitational pull of $m_1$, and how can this be explained with the virtual-graviton theory of gravity?

Some possible answers I can imagine:

a) Immediately $m_2$ interacts with virtual-gravitons sent by $m_1$, a year ago.

b) 1 year. It takes this long for freshly launched virtual-gravitons from $m_1$ to reach $m_2$ and vice-versa before any effect is felt on either mass

c) 2 years. There needs to be an exchange of information / virtual-gravitons between $m_1$ and $m_2$ and this is the minimum time it could take.

d) None of the above

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marked as duplicate by Chris White, Waffle's Crazy Peanut, Qmechanic Jan 20 '13 at 6:39

This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.

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@Chris White I do not think either if these questions are duplicates, one is about FTL information exchange (which I am not covering), one is about speed of gravity transmission (which is clearly speed-of-light). I am asking a different question about the nature of gravity. –  roblev Jan 19 '13 at 19:46
    
Okay, Roblev. Removed the tag. Atleast, you've mentioned it. BTW, Keep in mind that we use TeX markups for equations, parameters, etc. :-) –  Waffle's Crazy Peanut Jan 19 '13 at 19:53
    
@CrazyBuddy thanks, will try to master the markup next time –  roblev Jan 19 '13 at 20:03
    
Possible duplicate: physics.stackexchange.com/q/5456/2451 –  Qmechanic Jan 20 '13 at 6:38

1 Answer 1

This isn't really an answer, since Chris White's comment links a couple of questions that cover the same ground as your question. However you specifically ask about virtual gravitons, so I thought it might be worth a note on this.

Even if virtual gravitons are a good way to describe quantum gravity (and to be fair at such low energies they probably are) the energy of a graviton is so low that the interaction of even something a small as a proton is well described by classical gravity and there is no need to involve gravitons. The proton will feel the spacetime curvature created by the distant star immediately i.e. the answer is (a). However the star won't feel the (very small!) change in the spacetime curvature created by the proton for a year.

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Thanks John, I agree that the answer (a) is obvious considering relativity / curvature of space arguments, but I am struggling to visualise how it could possibly work with gravitons. It's not so much that there is no need to involve gravitons - I agree that different models handle the situation well - it is just that I struggle to understand the graviton model! –  roblev Jan 19 '13 at 20:01
    
For example, it implies that the star launched enough virtual gravitons 1 year ago to be able to interact with any particle on a shell 1 light year radius! that is a lot of virtual gravitons, and the density of them a year ago would be immense. It just seems weird! –  roblev Jan 19 '13 at 20:02
    
@roblev, exactly as weird as the density of photons launched, and yet you see the star with your naked eye... And what about light from a quasar at the other end of the Universe, to say so... –  Eduardo Guerras Valera Jan 19 '13 at 20:09
    
Be careful about interpreting the term "virtual particle" too literally. Matt Strassler has written a good article on the pitfalls of this at profmattstrassler.com/articles-and-posts/…. –  John Rennie Jan 19 '13 at 20:16
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@EduardoGuerras yes you are right about the photon behaviour at a distance, but that is different to the virtual graviton behaviour; receiving one photon every 5 years is fine but receiving one graviton every 5 years would not be fine, as it would then take 5 years for the star to influence the particle via gravity. I think the key thing here is the difference between real and virtual particles, and the link from JohnRennie looks good on this topic. –  roblev Jan 19 '13 at 22:55

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