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One can no nothing about the magnetic force and yet arrive at it by taking the relativistic effects of a current and a moving charge system into account. I ask whether there exists such an inherent force in case of gravity.

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Hi Swapnanil - it would help improve the question a lot if you explained in more detail what you're asking for here. – David Z Jun 21 '12 at 4:50
Whether there exists any such force, in whatever form – Swapnanil Saha Jun 21 '12 at 5:06
Well, I meant edit the question to clarify this. It'll read better if you explain in sentences. – David Z Jun 21 '12 at 5:07
You are asking about gravito-magnetic forces, which are included in General Relativity. This has been asked many times in different guises, although I wouldn't remember the exact duplicate question. – Ron Maimon Jun 21 '12 at 6:31
Possible duplicate: – Qmechanic Jul 21 '12 at 23:30
up vote 1 down vote accepted

Einstein's theory of gravity is already relativistic so I think that what you're asking is this: beginning with Newtonian gravity and making an analogy with Coulomb's law (where mass is analogous to electric charge etc.), and taking into account special relativity effects of a (mass) current etc., does the analog of magnetic force pop out?

The answer is: yes. However and unfortunately, the gravitational waves that also pop out, analogous to electromagnetic waves, transport negative energy.

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There is a set of such forces that commonly known as gravitomagnetic forces:

(I doubt though why the Wikipedia currently uses non-common name though).

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