I have read that there are different properties of black hole which are rotating like, they drag the spacetime, with them. Also I read that they have kind of 'ergosphere' along with event horizon. Also are rotating black holes inherently different from non rotating ones?
1 Answers
Ill answer in broad terms, if you want a more mathematical answer just ignore this answer.
Basically the shape of space time is determined by the metric (a function that computes distance between points of spacetime), and the whole idea of general relativity is that energy (including mass), momentum and angular momentum (rotation) acts on this metric and transform it. A rotating black hole has a lot of mass transforming the metric around it, but also angular momentum. It just so happens that the theory of general relativity predicts for a rotating black hole a transformation of the metric such that space time seems dragged in the rotation. So no, rotating black holes are not inherently different than non-rotating ones, they just have additional terms due to angular momentumin the equations describing the action on the metric
Transforming the metric, means that light rays passing by the rotating black hole find the shortest path to take to be one where they go around the black hole many times.
One thing it could help us with, is verify predictions of general relativiti alternatives or confirm GR with even more precision.
I bring you attention to this post: What is exactly rotating in a rotating black hole?
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