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Imax
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Can frame dragging around a black hole induce closed timelike curves (CTC)?
Short answer: no. It would require a black hole rotating so fast that the horizon is eliminated, which can't happen.Imax said:Can frame dragging around a black hole induce closed timelike curves (CTC)?
Chalnoth said:Short answer: no. It would require a black hole rotating so fast that the horizon is eliminated, which can't happen.
I know. It can't be done.Imax said:I'm just speculating about the possibility of a CTC outside the event horizon.
That, um, has no relevance to my point. There still aren't any closed time-like curves near the outside of the event horizon of a black hole, rotating or no.Imax said:The possibility of a CTC within a spacetime is not necessarily a bad thing. see
http://arxiv.org/PS_cache/gr-qc/pdf/0609/0609054v5.pdf
Chalnoth said:That, um, has no relevance to my point. There still aren't any closed time-like curves near the outside of the event horizon of a black hole, rotating or no.
I believe this is the case, yes.Imax said:Do these properties make it so that CTCs are necessarily hidden behind horizons?
Frame dragging is a phenomenon predicted by Einstein's theory of general relativity, where the rotation of a massive object (such as a black hole) causes the surrounding spacetime to be dragged along with it, affecting the motion of nearby objects.
Black holes are extremely massive objects that have such a strong gravitational pull that even light cannot escape from them. As these objects rotate, they cause a significant amount of frame dragging in their surrounding spacetime, which can have a profound effect on the motion of objects near the black hole.
There is currently no evidence to suggest that frame dragging can directly lead to the formation of CTCs. However, some theoretical models suggest that extreme frame dragging near the event horizon of a rotating black hole could potentially create a region where time loops back on itself, allowing for the possibility of CTCs.
CTCs, or closed time-like curves, are paths through spacetime that loop back on themselves, allowing for the possibility of time travel. In the context of black holes, CTCs are important because they could potentially allow for the violation of causality and the creation of paradoxes, which goes against our current understanding of the laws of physics.
No, the existence of CTCs near black holes is still a theoretical concept and has not been confirmed by empirical evidence. While some models suggest that CTCs may be possible near rotating black holes, further research and observations are needed to fully understand their potential existence and implications.