Growth of resonances and chaos for a spinning test particle in the Schwarzschild background

0537287 - ASÚ 2021 RIV US eng J - Journal Article
Zelenka, Ondřej - Lukes-Gerakopoulos, Georgios - Witzany, Vojtěch - Kopáček, Ondřej
Growth of resonances and chaos for a spinning test particle in the Schwarzschild background.
Physical Review D. Roč. 101, č. 2 (2020), č. článku 024037. ISSN 2470-0010. E-ISSN 2470-0029
R&D Projects: GA ČR(CZ) GJ17-06962Y
Institutional support: RVO:67985815
Keywords : rotating black-hole * general-relativity * extended bodies
OECD category: Astronomy (including astrophysics,space science)
Impact factor: 5.296, year: 2020
Method of publishing: Limited access
https://doi.org/10.1103/PhysRevD.101.024037

We numerically integrate the motion of a spinning test body in the field of a nonspinning black hole and analyze it using various methods. We show for the first time that resonances and chaos can be found even for astrophysically relevant values of the spin of the test body. On the other hand, we devise a method to analyze the growth of the resonances, and we conclude that the prolonged resonances we observe are only caused by terms quadratic in spin and will generally stay very small in the small-mass-ratio limit. Last but not least, we compute gravitational waveforms by numerically solving the Teukolsky equations in the time-domain and establish that they carry information on the motion's dynamics. In particular, we show that the time series of the gravitational wave strain can be used to discern regular from chaotic motion of the source.
Permanent Link: http://hdl.handle.net/11104/0315016