Looking into gravitoelectromagnetism, a strong analogy is drawn between gravity-torsion to electro-magnetism. Continuing this line-of-thought, I would imagine a "gravitational circuit"- a closed loop of mass flow (mass carriers replacing charge carriers)- would behave in similiar manners to electromagnetic circuits.
While a resistor in such a circuit is fairly understandable (a bottleneck-in-a-pipe description would perhaps do), I am very much intrigued by the idea of a capacitor (large massive gravitodes seperated by vacuum?) and an inductor (a "coil" of flowing mass?) and their behavior. Would oscilating gravitational fields be achievable this way, using an alternating current of mass? How about circuit resonance- would that create a zero field? Would a gravitational RLC circuit produce the known behaviour of it's electric counterpart?
I would naively assume so, as the behaviour of electrical circuits is derived at it's core from Maxwell's equations, and these apply here as well. The main prblem is the positivity of mass- while there exists negative charge, a gravitational counterpart is missing. How will that affect the results? How about the fact (as mentioned by Wendy Krieger) that positive momenta repel in a similiar manner to charge repulsion?
Can the analogy even be stretched that far? If so- can it be stretched even further? Can a gravitotransistor be created (my intuition is that the lack of negative mass means the answer is no)? How about a gravitocomputer?
in short: does the analogy between gravity and electromagnetism allow certain behaviours of electronic circuits to exist in a purely gravitational system? If so, which devices can be imitated this way?