Spin-geodesic deviations in the Schwarzschild spacetime

Bini, Donato; Geralico, Andrea; Jantzen, Robert T.

doi:10.1007/s10714-010-1111-4

Cited by 24 publications

(24 citation statements)

References 22 publications

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“…We have investigated the dynamics of extended bodies endowed with intrinsic spin and quadrupole moment in the Kerr spacetime according to the MPD model, extending previous works [55][56][57]. As it is well known, the quadrupole tensor has in general 20 independent components and obeys all the algebraic symmetries of the Riemann tensor.…”

Section: Discussionmentioning

confidence: 77%

“…We see that the motion is confined inside a band close to the circular geodesic whose thickness slightly increases after each revolution. This feature is definitely new with respect to the case of a purely spinning particle, where the orbit oscillates filling a circular corona of fixed width [55,56]. Nevertheless, it was already found to occur in the case of a quadrupolar body moving in a Schwarzschild background [57].…”

Section: Comparison With Numerically-integrated Orbitsmentioning

confidence: 80%

“…The azimuthal motion also oscillates around the geodesic value with the same frequency characterizing the radial motion, apart from a secular drift which occurs at slightly different speeds for the inner and outer radial oscillations (see also Ref. [55]). …”

Section: Comparison With Numerically-integrated Orbitsmentioning

confidence: 92%

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Deviation of quadrupolar bodies from geodesic motion in a Kerr spacetime

Bini

Geralico

2014

Phys. Rev. D

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The deviation from geodesic motion of the world line of an extended body endowed with multipolar structure up to the mass quadrupole moment is studied in the Kerr background according to the Mathisson-Papapetrou-Dixon model. The properties of the quadrupole tensor are clarified by identifying the relevant components which enter the equations of motion, leading to the definition of an effective quadrupole tensor sharing its own algebraic symmetries, but also obeying those implied by the Mathisson-Papapetrou-Dixon model itself. The equations of motion are then solved analytically in the limit of small values of the characteristic length scales associated with the spin and quadrupole variables in comparison with the one associated with the background curvature and under special assumptions on body's structure and motion. The resulting quasi-circular orbit is parametrized in a Keplerian-like form, so that temporal, radial and azimuthal eccentricities as well as semi-major axis, period and periastron advance are explicitly computed and expressed in terms of gauge-invariant variables in the weak field and slow motion limit. A companion numerical study of the equations of motion is performed too.

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Section: Discussionmentioning

confidence: 77%

Section: Comparison With Numerically-integrated Orbitsmentioning

confidence: 80%

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Deviation of quadrupolar bodies from geodesic motion in a Kerr spacetime

Bini

Geralico

2014

Phys. Rev. D

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confidence: 92%

Dynamics of quadrupolar bodies in a Schwarzschild spacetime

Bini

Geralico

2013

Phys. Rev. D

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The dynamics of extended bodies endowed with multipolar structure up to the mass quadrupole moment is investigated in the Schwarzschild background according to the Dixon's model, extending previous works. The whole set of evolution equations is numerically integrated under the simplifying assumptions of constant frame components of the quadrupole tensor and that the motion of the center of mass be confined on the equatorial plane, the spin vector being orthogonal to it. The equations of motion are also solved analytically in the limit of small values of the characteristic length scales associated with the spin and quadrupole with respect to the background curvature characteristic length. The results are qualitatively and quantitatively different from previous analyses involving only spin structures. In particular, the presence of the quadrupole turns out to be responsible for the onset of a non-zero spin angular momentum, even if initially absent.

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“…Most of the existing studies on spinning particle motion in a Schwarzschild spacetime concern either circular or eccentric orbits or even deviations due to spin from a reference orbit which is a circular geodesic (i.e., quasi-circular orbits) [22,23,24,25,26,27,28,29,30,31]. These results are useful when taking into account backreaction effects to the background metric, going beyond the test particle approximation by using, e.g., self-force techniques [32].…”

Section: Discussionmentioning

confidence: 99%

Hyperbolic-like elastic scattering of spinning particles by a Schwarzschild black hole

Bini¹,

Geralico²

2017

Gen Relativ Gravit

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The scattering of spinning test particles by a Schwarzschild black hole is studied. The motion is described according to the Mathisson-Papapetrou-Dixon model for extended bodies in a given gravitational background field. The equatorial plane is taken as the orbital plane, the spin vector being orthogonal to it with constant magnitude. The equations of motion are solved analytically in closed form to first-order in spin and the solution is used to compute corrections to the standard geodesic scattering angle as well as capture cross section by the black hole.PACS 04.20.Cv

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Spin-geodesic deviations in the Schwarzschild spacetime

Cited by 24 publications

References 22 publications

Deviation of quadrupolar bodies from geodesic motion in a Kerr spacetime

Deviation of quadrupolar bodies from geodesic motion in a Kerr spacetime

Dynamics of quadrupolar bodies in a Schwarzschild spacetime

Hyperbolic-like elastic scattering of spinning particles by a Schwarzschild black hole

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