Confusion about Frame Dragging

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SUMMARY

The discussion centers on the phenomenon of frame dragging, particularly in the context of a chain released near the ergosphere of a rotating black hole. It is established that a chain hanging vertically above the ergosphere will not remain vertical once it touches the ergosphere due to the infinite induction force acting on it, which causes it to move spinward. The conversation highlights the complexities of forces in General Relativity (GR), emphasizing that the stress on the chain increases as it approaches the ergosphere, ultimately leading to its breakage. The participants also explore the implications of static versus dynamic chains in a frame-dragging environment.

PREREQUISITES
  • Understanding of General Relativity (GR) principles
  • Familiarity with the concept of frame dragging
  • Knowledge of ergosphere dynamics in rotating black holes
  • Basic grasp of four-velocity and four-acceleration in spacetime
NEXT STEPS
  • Study the mathematical formulation of frame dragging effects in Kerr black holes
  • Learn about the properties and implications of the ergosphere in General Relativity
  • Investigate the concept of static versus dynamic objects in curved spacetime
  • Explore the role of induction forces in relativistic physics
USEFUL FOR

Physicists, astrophysicists, and students of General Relativity who are interested in the effects of frame dragging and the behavior of objects near rotating black holes.

  • #31
nomadreid said:
Thanks, Ibix. so

I would end up spiraling into the black hole?
I wouldn't like to take a position on whether you would complete a full circle without doing some maths, but basically yes. If I drop you from a great distance from a non-rotating hole you will always be between me and the hole as you fall in. But with a rotating hole you would be dragged spinwards to some extent.

In practice the accretion disc around the hole would have a straightforward frictional drag effect as well (not to mention cooking you extra-crispy). I suspect that would tend to make you orbit more than a vacuum GR analysis would suggest, but I haven't done the maths for that either.
 
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  • #32
Many thanks for that, Ibix. That makes sense, even without the calculations. (The various things that can, as you put it, cook an astronaut extra-crispy, seem to do away with all science-fiction scenarios about an astronaut entering the event horizon alive.)
 
  • #33
tzimie said:
Yesterday I learned that there may be ergospeheres around neutron stars too.

From where? Please give a reference.
 
  • #34
nomadreid said:
if there were no significant frame dragging around a supermassive black hole, then where do the jets of those who have them (OK, only a small portion, but nonetheless) come from?

The jets are believed to be coming out along the rotation axis of the hole; as I understand it, frame dragging basically collimates them to shoot out that way. But that is frame dragging considered globally, on the scale of the entire hole: as @Ibix said, that is very different from the difference in frame dragging between the feet and the head of an astronaut in a free-fall trajectory near the hole.
 
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