Chaotic orbits for spinning particles in Schwarzschild spacetime
General Relativity and Quantum Cosmology
2010-07-13 v2
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 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.
Cite
@article{arxiv.0912.0031,
title = {Chaotic orbits for spinning particles in Schwarzschild spacetime},
author = {Chris Verhaaren and Eric W. Hirschmann},
journal= {arXiv preprint arXiv:0912.0031},
year = {2010}
}
Comments
11 pages, 17 figures