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National Repository of Grey Literature

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Geodesics in the field of a perturbed black hole: where appears chaos? Polcar, Lukáš ; Semerák, Oldřich (advisor) ; Suková, Petra (referee) It is widely known that the motion around Schwarzshild black hole is completely integrable. However, after adding a disc or a ring one of the symmetries of the system is broken and the motion may become chaotic for some values of parameters. The aim of this thesis is to identify where appears chaos in static, axially symmetric spacetime by using the geometrical method based on the geodesic deviation equation. Is it possible to predict chaotic behaviour in general relativity solely from local geometrical properties of spacetime, without explicitly solving the geodesic equation? Powered by TCPDF (www.tcpdf.org) Detailed record

Geodesics in the field of a perturbed black hole: where appears chaos? Polcar, Lukáš ; Semerák, Oldřich (advisor) ; Suková, Petra (referee) It is widely known that the motion around Schwarzshild black hole is completely integrable. However, after adding a disc or a ring one of the symmetries of the system is broken and the motion may become chaotic for some values of parameters. The aim of this thesis is to identify where appears chaos in static, axially symmetric spacetime by using the geometrical method based on the geodesic deviation equation. Is it possible to predict chaotic behaviour in general relativity solely from local geometrical properties of spacetime, without explicitly solving the geodesic equation? Powered by TCPDF (www.tcpdf.org) Detailed record

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