Firstly I will admit I do not understand the real cause of rotational frame dragging and some of the [math heavy explanations][1] are too complicated for me. To me frame dragging looks like unsubstantiated analogy with friction. So in order to better understand the mechanism, I would like to know if frame dragging applies to linear motion too. 

Image an infinite cable made of neutron star matter. A gyroscope is orbiting the cable on a stable orbit, pointing perpendicular to the cable length. Now I start to pull the cable along its length axis. Would the gyroscope start to precess due to distortion of the space along the cable?

If I did this experiment in a huge jar of honey, the linear motion of the cable would cause the honey to "drag"particles along the way. Would the same happen with empty space?




  [1]: https://physics.stackexchange.com/questions/156439/how-does-a-rotating-object-cause-frame-dragging