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arXiv · 1805.07650

Regular frames and particle's rotation near a black hole

Yu. V. Pavlov·O. B. Zaslavskii
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Abstract

We consider a particle moving towards a rotating black hole. We are interested in the number of its revolution $n$ around a black hole. In our previous work (Pavlov and Zaslavskii in Gen Relativ Gravit 50: 14, 2018. arXiv:1707.02860) we considered this issue in the Boyer-Lindquist type of coordinates with a subsequent procedure of subtraction. Now, we reconsider this issue using from the very beginning the frames regular on the horizon. For a nonextremal black hole, regularity of a coordinate frame leads to the finiteness of a number of revolutions around a black hole without a subtraction procedure. Meanwhile, for extremal black holes comparison of $n$ calculated in the regular frame with some subtraction procedures used by us earlier shows that the results can be different.

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Yu. V. Pavlov, O. B. Zaslavskii. 2018-05-19. Regular frames and particle's rotation near a black hole. https://doi.org/10.1007/s10714-019-2544-z

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