Does the Sun's Rotation Twist Space?

[Wick]

We know that the gravity associated with the sun warps space. This is often depicted in a flat diagram with a plane warped into a well, at the bottom of which lies the sun. My question: Since the sun is rotating at the bottom of that well, might the gravity well twist in the direction of the sun's rotation (however slight)? If space does twist based upon the sun's rotation, would vectors around the sun need to account for this twist? Might this be the reason why NASA probes seem to experience orbits anomolies (i.e. the PIONEER probes and the more recent Galileo, NEAR, Rosetta and MESSENGER probes?

[Max™]

The term you're looking for is called Frame Dragging, and yes it should happen.

[Wick]

The term you're looking for is called Frame Dragging, and yes it should happen.

Thanks Max,

I never put the the two concepts together before. My focus is primarily upon the shape of space. I think that's why I didn't consider frame dragging when I asked the question. Frame dragging seems to speak more to time than the shape of space. I'm less interested in how this twisting influences time.

So in a frame dragging scenario, does the shape of space (in a 2-D model) actually begin to look like the threads of a screw?

I don't think frame dragging explains the effects we see in NASA probes. Frame dragging is generally thought to be almost inperceptably tiny. But if the shape of space was actually changing into a screwlike contour, might that account for the anomolous effects to these solar orbiters?

Wick