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Abstract: We study chaos dynamics of spinning particles in Kerr spacetime of rotatingblack holes use the Papapetrou equations by numerical integration. Because ofspin, this system exists many chaos solutions, and exhibits some exceptionaldynamic character. We investigate the relations between the orbits chaos andthe spin magnitude S, pericenter, polar angle and Kerr rotation parameter a bymeans of a kind of brand new Fast Lyapulov Indicator FLI which is defined ingeneral relativity. The classical definition of Lyapulov exponent LE perhapsfails in curve spacetime. And we emphasize that the Poincar\-e sections cannotbe used to detect chaos for this case. Via calculations, some new interestingconclusions are found: though chaos is easier to emerge with bigger S, but notalways depends on S monotonically; the Kerr parameter a has a contrary actionon the chaos occurrence. Furthermore, the spin of particles can destroy thesymmetry of the orbits about the equatorial plane. And for some special initialconditions, the orbits have equilibrium points.



Author: Wen-Biao Han

Source: https://arxiv.org/







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