Regular frames and particle's rotation near a black hole
Abstract
We consider a particle moving towards a rotating black hole. We are interested in the number of its revolution 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 calculated in the regular frame with some subtraction procedures used by us earlier shows that the results can be different.
Cite
@article{arxiv.1805.07650,
title = {Regular frames and particle's rotation near a black hole},
author = {Yu. V. Pavlov and O. B. Zaslavskii},
journal= {arXiv preprint arXiv:1805.07650},
year = {2019}
}
Comments
11 pages, 1 figure. Misprints in eq. (27) corrected. Matches published version