The Onset of Chaotic Motion of a Spinning Particle around the Schwarzchild Black Hole

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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14 pages in Revtex4 style, 9 figures(eps files)

Scientific paper

10.1016/j.physleta.2005.01.020

In the Schwarzchild black hole spacetime, we show that chaotic motion can be
triggered by the spin of a particle. Taking the spin of the particle as a
perturbation and using the Melnikov method, we find that the perturbed stable
and unstable orbits are entangled with each other and that illustrates the
onset of chaotic behavior in the motion of the particle.

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