Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2009-11-30
Phys.Rev.D81:124034,2010
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
11 pages, 17 figures
Scientific paper
10.1103/PhysRevD.81.124034
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 Poincar\'e 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.
Hirschmann Eric W.
Verhaaren Chris
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