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@article{41406,
author = {Stuchlík, Zdeněk and Slaný, Petr and Török, Gabriel and Abramowicz, Marek},
article_location = {COLLEGE PK},
article_number = {2},
doi = {http://dx.doi.org/10.1103/PhysRevD.71.024037},
language = {eng},
issn = {1550-7998},
journal = {Physical Review D},
title = {Aschenbach effect: Unexpected topology changes in the motion of particles and fluids orbiting rapidly rotating Kerr black holes},
volume = {71},
year = {2005}
}
TY - JOUR
ID - 41406
AU - Stuchlík, Zdeněk - Slaný, Petr - Török, Gabriel - Abramowicz, Marek
PY - 2005
TI - Aschenbach effect: Unexpected topology changes in the motion of particles and fluids orbiting rapidly rotating Kerr black holes
JF - Physical Review D
VL - 71
IS - 2
PB - AMER PHYSICAL SOC
SN - 15507998
N2 - Newtonian theory predicts that the velocity V of free test particles on circular orbits around a spherical gravity center is a decreasing function of the orbital radius r, dV/dr<0. Only very recently, Aschenbach [B. Aschenbach, Astronomy and Astrophysics, 425, 1075 (2004)] has shown that, unexpectedly, the same is not true for particles orbiting black holes: for Kerr black holes with the spin parameter a>0.9953, the velocity has a positive radial gradient for geodesic, stable, circular orbits in a small radial range close to the black-hole horizon. We show here that the Aschenbach effect occurs also for nongeodesic circular orbits with constant specific angular momentum l=l(0)=const. In Newtonian theory it is V=l(0)/R, with R being the cylindrical radius. The equivelocity surfaces coincide with the R=const surfaces which, of course, are just coaxial cylinders. It was previously known that in the black-hole case this simple topology changes because one of the "cylinders" self-crosses. The results indicate that the Aschenbach effect is connected to a second topology change that for the l=const tori occurs only for very highly spinning black holes, a>0.99979.
ER -
STUCHLÍK, Zdeněk, Petr SLANÝ, Gabriel TÖRÖK and Marek ABRAMOWICZ. Aschenbach effect: Unexpected topology changes in the motion of particles and fluids orbiting rapidly rotating Kerr black holes. \textit{Physical Review D}. COLLEGE PK: AMER PHYSICAL SOC, 2005, vol.~71, No~2, 9 pp. ISSN~1550-7998. Available from: https://dx.doi.org/10.1103/PhysRevD.71.024037.
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