Chaos and dynamics of spinning particles in Kerr spacetime |
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Authors: | Wenbiao Han |
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Institution: | (1) Shanghai Astronomical Observatory, Graduate School of the Chinese Academy of Sciences, 80 Nandan Road, Shanghai, 200030, China |
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Abstract: | We study chaos dynamics of spinning particles in Kerr spacetime of rotating black holes use the Papapetrou equations by numerical
integration. Because of spin, this system exists many chaos solutions, and exhibits some exceptional dynamic character. We
investigate the relations between the orbits chaos and the spin magnitude S, pericenter, polar angle and Kerr rotation parameter a by means of a kind of brand new Fast Lyapulov Indicator (FLI) which is defined in general relativity. The classical definition
of Lyapulov exponent (LE) perhaps fails in curve spacetime. And we emphasize that the Poincaré sections cannot be used to
detect chaos for this case. Via calculations, some new interesting conclusions are found: though chaos is easier to emerge
with bigger S, but not always depends on S monotonically; the Kerr parameter a has a contrary action on the chaos occurrence. Furthermore, the spin of particles can destroy the symmetry of the orbits
about the equatorial plane. And for some special initial conditions, the orbits have equilibrium points. |
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Keywords: | General relativity Dynamics Chaos Fast Lyapulov indicator |
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