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arXiv · 0912.0031

Chaotic orbits for spinning particles in Schwarzschild spacetime

Chris Verhaaren·Eric W. Hirschmann
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Abstract

We consider the orbits of particles with spin in the Schwarzschild spacetime. Using the Papapetrou-Dixon equations of motion for spinning particles, we solve for the orbits and focus on those that exhibit chaos using both Poincaré maps and Lyapunov exponents. In particular, we develop a method for comparing the Lyapunov exponents of chaotic orbits. We find chaotic orbits for smaller spin values than previously thought and with spins that could be realized astrophysically.

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Chris Verhaaren, Eric W. Hirschmann. 2010-07-10. Chaotic orbits for spinning particles in Schwarzschild spacetime. https://doi.org/10.1103/physrevd.81.124034

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