Dynamics of a spinning particle in a linear in spin Hamiltonian approximation

Lukes-Gerakopoulos, Georgios; Katsanikas, Matthaios; Patsis, P. A.; Seyrich, Jonathan

doi:10.1103/physrevd.94.024024

Cited by 28 publications

(22 citation statements)

References 52 publications

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“…These forces/torques will cause the object to deviate from a geodesic motion. The spin-orbit and spin-spin couplings (as the leading orders of spin-curvature coupling [18]) may be explained in terms of a gravito-electromagnetic ananlogue (see, e.g., [19][20][21][22]), although the spins coupling, taking account of the non-zero size of the object and the higher-order effects, would require a more proper treatment (see, e.g., [23][24][25]).…”

Section: Mathisson-papapetrou-dixon Formulationmentioning

confidence: 99%

Multi-Messenger Astrophysics of a Millisecond Pulsar Orbiting around a Massive Black Hole

2022

Universe

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Extreme-mass-ratio and intermediate-mass-ratio binaries with a millisecond pulsar are gravitational-wave sources that emit also electromagnetic radiation. The millisecond pulsars in these binaries have complex orbital and spin dynamics, which are observable because of spin–orbit and spin–spin coupling (through spin–curvature interaction). The strengths of the couplings generally depends on the mass ratio between the pulsar and the black hole. The narrow mass range of neutron stars gives an advantage in parameter extraction as it greatly reduces the search space, in particular, in the determination of the black-hole mass, in gravitational wave experiments and radio pulsar timing observations. Extreme-mass-ratio and intermediate-mass-ratio binaries with a millisecond pulsar will help to resolve the astrophysical problems, concerning the applicability of the M-σ relation for galactic spheroids extending to the very low-mass galaxies and whether or not low-mass dwarf galaxies and globular clusters would harbour a nuclear intermediate-mass black hole. The high-precision that can be achieved in gravitational wave experiments and radio pulsar timing observations will provide an opportunity to directly detect gravitational clock effects that are arisen from spin couplings. Radio monitoring of the orbital and spin evolution of the millisecond pulsar in an extreme-mass-ratio binary can be used as a bootstrap method for correcting the drifts in the phases in the gravitational waves from the extreme-mass-ratio and intermediate-mass-ratio binaries caused by self-force.

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Section: Mathisson-papapetrou-dixon Formulationmentioning

confidence: 99%

Multi-Messenger Astrophysics of a Millisecond Pulsar Orbiting around a Massive Black Hole

2022

Universe

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“…In principle, one can also add two other constrains, e.g., by additionally fixing both R x and R y , to obtain a 2D Poincaré section, which however proves to be numerically quite challenging because of sparsity of those intersection points. In the present study, we use a 2D projection to illustrate the overall feature of the 4D Poincaré section, in conjunction with 4D visualization of certain orbits, similar to methods previously introduced elsewhere [36]. The 2D projection is on the x 0 − ẋ0 plane, and the 4D visualization of certain orbits is achieved via a threedimensional plot of x 0 , ẋ0 , and R x , with R y represented by color.…”

Section: Chaotic Dynamicsmentioning

confidence: 99%

“…III, and investigate the nature of the condensate dynamics, namely, regular or chaotic. This is demonstrated by computing the Poincaré section, both in fourdimensional (4D) form and its 2D projection [36], along with the analysis of power spectrum of the dynamical variables. Finally, we end our discussion with a summary in Sec.…”

Section: Introductionmentioning

confidence: 99%

Chaotic dynamics of Bose-Einstein condensate in a density-dependent gauge field

Chen,

Zhu

2021

Preprint

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In this work we study the effect of density-dependent gauge field on the collective dynamics of a harmonically trapped Bose-Einstein condensate, beyond the linear response regime. The densitydependent gauge field, as a backaction of the condensate, can in turn affect the condensate dynamics, resulting in highly nonlinear equations of motion. We find that the dipole and breathing oscillations of the condensate along the direction of gauge field are coupled by this field. For a quasi-onedimensional condensate, this coupling makes the collective motion quasiperiodic. While for a quasitwo-dimensional condensate, the gauge field can also induce a Hall effect, manifested as an additional coupling between dipole and breathing oscillations in perpendicular direction. When the densitydependent gauge field is strong, the interplay between these oscillations can cause the collective dynamics of the condensate to become chaotic. Our findings reveal an important effect of dynamical gauge field on the nonlinear dynamics of a Bose-Einstein condensate.

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“…However, the phenomena and characteristics of extreme spinning particles orbiting near a black hole are very interesting for researchers. [14][15][16][17][18][19][20][21] In this paper, we focus on an exotic orbital configuration whose orbit pattern is asymmetrical about the equatorial plane of the Kerr black hole. We try to study this interesting phenomenon in details and reveal its physical reasons.…”

Section: Introductionmentioning

confidence: 99%

Exotic orbits due to spin–spin coupling around Kerr black holes

Han

Yang

2017

Int. J. Mod. Phys. D

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We report exotic orbital phenomena of spinning test particles orbiting around a Kerr black hole, i.e., some orbits of spinning particles are asymmetrical about the equatorial plane. When a nonspinning test particle orbits around a Kerr black hole in a strong field region, due to relativistic orbital precessions, the pattern of trajectories is symmetrical about the equatorial plane of the Kerr black hole. However, the patterns of the spinning particles' orbit are no longer symmetrical about the equatorial plane for some orbital configurations and large spins. We argue that these asymmetrical patterns come from the spin-spin interactions between spinning particles and Kerr black holes, because the directions of spin-spin forces can be arbitrary, and distribute asymmetrically about the equatorial plane.

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Dynamics of a spinning particle in a linear in spin Hamiltonian approximation

Cited by 28 publications

References 52 publications

Multi-Messenger Astrophysics of a Millisecond Pulsar Orbiting around a Massive Black Hole

Multi-Messenger Astrophysics of a Millisecond Pulsar Orbiting around a Massive Black Hole

Chaotic dynamics of Bose-Einstein condensate in a density-dependent gauge field

Exotic orbits due to spin–spin coupling around Kerr black holes

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