Gravitational Magnus effect
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Gravitational Magnus effect. / Costa, L. Filipe O.; Franco, Rita; Cardoso, Vitor.
I: Physical Review D, Bind 98, Nr. 2, 024026, 13.07.2018.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - Gravitational Magnus effect
AU - Costa, L. Filipe O.
AU - Franco, Rita
AU - Cardoso, Vitor
PY - 2018/7/13
Y1 - 2018/7/13
N2 - It is well known that a spinning body moving in a fluid suffers a force orthogonal to its velocity and rotation axis-it is called the Magnus effect. Recent simulations of spinning black holes and (indirect) theoretical predictions, suggest that a somewhat analogous effect may occur for purely gravitational phenomena. The magnitude and precise direction of this "gravitational Magnus effect" is still the subject of debate. Starting from the rigorous equations of motion for spinning bodies in general relativity (Mathisson-Papapetrou equations), we show that indeed such an effect takes place and is a fundamental part of the spin-curvature force. The effect arises whenever there is a current of mass/energy, non-parallel to a body's spin. We compute the effect explicitly for some astrophysical systems of interest: a galactic dark matter halo, a black hole accretion disk, and the Friedmann-Lemaitre-Robertson-Walker (FLRW) spacetime. It is seen to lead to secular orbital precessions potentially observable by future astrometric experiments and gravitational-wave detectors. Finally, we consider also the reciprocal problem: the "force" exerted by the body on the surrounding matter, and show that (from this perspective) the effect is due to the body's gravitomagnetic field. We compute it rigorously, showing the matching with its reciprocal, and clarifying common misconceptions in the literature regarding the action-reaction law in post-Newtonian gravity.
AB - It is well known that a spinning body moving in a fluid suffers a force orthogonal to its velocity and rotation axis-it is called the Magnus effect. Recent simulations of spinning black holes and (indirect) theoretical predictions, suggest that a somewhat analogous effect may occur for purely gravitational phenomena. The magnitude and precise direction of this "gravitational Magnus effect" is still the subject of debate. Starting from the rigorous equations of motion for spinning bodies in general relativity (Mathisson-Papapetrou equations), we show that indeed such an effect takes place and is a fundamental part of the spin-curvature force. The effect arises whenever there is a current of mass/energy, non-parallel to a body's spin. We compute the effect explicitly for some astrophysical systems of interest: a galactic dark matter halo, a black hole accretion disk, and the Friedmann-Lemaitre-Robertson-Walker (FLRW) spacetime. It is seen to lead to secular orbital precessions potentially observable by future astrometric experiments and gravitational-wave detectors. Finally, we consider also the reciprocal problem: the "force" exerted by the body on the surrounding matter, and show that (from this perspective) the effect is due to the body's gravitomagnetic field. We compute it rigorously, showing the matching with its reciprocal, and clarifying common misconceptions in the literature regarding the action-reaction law in post-Newtonian gravity.
KW - POTENTIAL-DENSITY PAIRS
KW - RELATIVISTIC DISKS
KW - BLACK-HOLES
KW - SPINNING SPHERE
KW - FREE MOTION
KW - FORCE
KW - RINGS
KW - INTEGRABILITY
KW - PRECESSION
KW - MOMENTUM
U2 - 10.1103/PhysRevD.98.024026
DO - 10.1103/PhysRevD.98.024026
M3 - Journal article
VL - 98
JO - Physical Review D
JF - Physical Review D
SN - 2470-0010
IS - 2
M1 - 024026
ER -
ID: 299200836