Spinning particles moving around black holes: integrability and chaos
General Relativity and Quantum Cosmology
2019-03-06 v1 Chaotic Dynamics
Abstract
The motion of a stellar compact object around a supermassive black hole can be approximated by the motion of a spinning test particle. The equations of motion describing such systems are in general non-integrable, and therefore, chaotic motion should be expected. This article discusses the integrability issue of the spinning particle for the cases of Schwarzschild and Kerr spacetime, and then it focuses on a canonical Hamiltonian formalism where the spin of the particle is included only up to the linear order.
Keywords
Cite
@article{arxiv.1606.09430,
title = {Spinning particles moving around black holes: integrability and chaos},
author = {Georgios Lukes-Gerakopoulos},
journal= {arXiv preprint arXiv:1606.09430},
year = {2019}
}
Comments
6 pages, 2 figures, to appear in the Proceedings of the "14th Marcel Grossmann Meeting" (Rome, July 12 - 18, 2015)