MGAT10 - Chaos in rotating systems |
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Speaker |
Sukova, Petra |
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Co-autors |
doc. RNDr. Oldrich Semerak, Dr. |
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Talk Title |
Chaos in motion around black holes with discs |
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Abstract |
In the fields of isolated stationary black holes, the geodesic dynamics is regular. However, due to the presence of unstable periodic orbits, it easily becomes chaotic under various perturbations. Here we study the chaos induced by the presence of an additional source in the Schwarzschild spacetime. Following the astrophysical motivation, we consider thin rings or discs lying symmetrically around the hole and describe the total field in terms of exact static and axially symmetric solutions of Einstein's equations. The onset of chaos is illustrated on Poincare sections and discussed in dependence on the mass and position of the ring/disc and on geodesic parameters (energy and angular momentum). Several other indicators of chaos will be checked and compared in future. |
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Talk view |
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