Gravitational biot-savart-like force?

[Ulf]

the coulomb force and the Newtonian law of gravity have the same structure:

$$F_C=\frac{q_1q_2}{R^2}$$ and $$F_G=\frac{m_1m_2}{R^2}$$.

so why isn't there an equivalent to the magnetic force in gravitation? so that one could imagine a law of the same structure as the biot-savart law for gravitation. is there something like that? and when not, why? what is so different in gravitation?

 

[G01]

Such a concept has been discussed. In fact an analogy between Maxwell's equations and Einstein's field equations can be made, valid only under certain limiting conditions.

I don't know much about it, so I will leave any more in depth explanation for those more familiar with the material.

There is, however, a wiki article on the topic:

http://en.wikipedia.org/wiki/Gravitomagnetism

and of course, the arXiv is great:

http://arxiv.org/abs/gr-qc/0311030

 

[Ulf]

Thank you G01! this is exactly what i was looking for. i wonder why this wasn't told in my introduction courses in physics, and none of my fellow students knew about that. guess i had to take the General Relativity course, to get to know about^^