Chaos and dynamics of spinning particles in Kerr spacetime

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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.