Abstract
The paper discusses the possibility of a stochastic resonance phenomenon in the dynamics of test particles in the field of a Kerr black hole. Carter’s first integral for the longitudinal variable possesses a double-well potential. If appropriate external periodic forcing and a stochastic force are present, a stochastic resonance may be observed for the θ-variable. As a consequence, near-equatorial θ-trajectories lying on two θ-cones tend to mix between the two cones.
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Pyragas, K., Svirskas, K. Stochastic resonance in the flow of test particles in the field of a Kerr black hole. Gravit. Cosmol. 15, 247–249 (2009). https://doi.org/10.1134/S0202289309030086
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DOI: https://doi.org/10.1134/S0202289309030086