Bonn 2020 – scientific programme
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GR: Fachverband Gravitation und Relativitätstheorie
GR 8: Black Holes 1
GR 8.2: Talk
Wednesday, April 1, 2020, 11:45–12:00, H-HS IX
Aschenbach effect for particles with spin — •Volker Perlick1, Jafar Khodagholizadeh2, and Ali Vahedi3 — 1ZARM, University of Bremen, 28359 Bremen, Germany — 2Farhangian University, P.O. Box 11876-13311, Tehran, Iran — 3Faculty of Physics, Kharazmi university, P. O. Box 15614, Tehran, Iran
In the Schwarzschild spacetime the orbital velocity of a freely falling particle in circular motion is a monotonically decreasing function of the radius, as we are used to from Newtonian physics. Therefore, it came as a surprise when in 2004 Bernd Aschenbach realised that in a Kerr spacetime with spin parameter a2 > ac2, ac ≈ 0.9953 M, there is a radius interval close to but outside of the innermost stable circular orbit for which the orbital velocity of co-rotating particles is increasing with the radius coordinate. He showed that this non-monotonic behaviour is related to the presence of a certain resonance that would link the effect to possible observations. Here we investigate how the non-monotonic behaviour of the orbital velocity is modified if particles with spin are considered. To that end we use the Mathisson-Papapetrou-Dixon equation with the Tulczyjew-Dixon and the Frenkel-Mathisson-Pirani supplementary conditions.