English

Recurrence analysis of spinning particles in the Schwarzschild background

General Relativity and Quantum Cosmology 2021-01-26 v1 Chaotic Dynamics

Abstract

In this work the dynamics of a spinning particle moving in the Schwarzschild background is studied. In particular, the methods of Poincar\'{e} section and recurrence analysis are employed to discern chaos from order. It is shown that the chaotic or regular nature of the orbital motion is reflected on the gravitational waves.

Keywords

Cite

@article{arxiv.1903.00360,
  title  = {Recurrence analysis of spinning particles in the Schwarzschild background},
  author = {Ondřej Zelenka and Georgios Lukes-Gerakopoulos and Vojtěch Witzany},
  journal= {arXiv preprint arXiv:1903.00360},
  year   = {2021}
}

Comments

8 pages, 2 figures, to appear in the RAGtime20 conference proceedings (Opava, October 15-19 2018)