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arXiv · 1606.09430

Spinning particles moving around black holes: integrability and chaos

Georgios Lukes-Gerakopoulos
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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.

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Georgios Lukes-Gerakopoulos. 2016-06-30. Spinning particles moving around black holes: integrability and chaos. https://doi.org/10.1142/9789813226609_0209

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