Frame-Dragging, Density and Space-time Distortion

[Theoretically]

Hello everyone I'm fairly new to the world of Astrophysics and as such have come upon an odd question. Is there any material possible that you could assemble on Earth that would have any significant Frame-Dragging or space-time distortion effects? Let's say we are able to extract, pressurize, and give a high rotation to a teaspoon of Neutronium, would it produce any noticeable distortion of space-time or have a frame-dragging effect or is this only limited to the insane conditions of black holes? And if not Neutronium, would super-dense Earth metals like Osmosium combined with highly focused laser technology (Like Mallet's time machine perhaps) produce a noticeable effect? Apologies if I'm missing a very obvious point here.

 

[Drakkith]

Define noticeable. Gravity Probe B just took very accurate readings of the frame dragging effect of the Earth. We've known about the frame dragging effects of the Sun for about a century now, as it was used to explain the precession of Mercury around the sun being higher than Newtonian physics allowed.

I'm not sure what your asking about in the last half of your post. Frame dragging and spacetime warping are purely determined by the mass of something. There isn't anything that we could feasibly build at this point in time massive enough to detect frame dragging from it.

 

[Theoretically]

Hmm well let me explain. This was mostly from a snippet of an idea from a documentry about Mallet's machine (which is doubtful to work IMO) where frame-dragging was used as a means of speeding an object up to near lightspeed similar to being caught on the deep event horizon of a black hole. Now I'm talking about a significant enough effect that something caught in the dragged frame can actually be time-dilated to anything more then a few seconds a year.

Mass in a general sense or in context of the object it's acting upon? Ex. Could a micro-black hole produce a time-dilation effect on a even smaller particle caught in it's EH?

 

[Drakkith]

Frame dragging does not cause time dilation to my knowledge. The mass of the larger object determines the amount of spacetime curvature which determines the amount of time dilation another object near it experiences. A micro-black hole could cause significant time dilation if a particle much smaller than the black hole was in it's gravitational field close to it. But that's just because of it's mass and density.