100 research outputs found
Spinning particles moving around black holes: integrability and chaos
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.Comment: 6 pages, 2 figures, to appear in the Proceedings of the "14th Marcel
Grossmann Meeting" (Rome, July 12 - 18, 2015
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