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Geodesic dynamics in the fields of black holes surrounded by discs
 Kraus, Karel ; Semerák, Oldřich (advisor) ; Čížek, Martin (referee)
One of the basic tasks of general relativity is to calculate the motion of free test particles by integrating the geodesics equation. In the field of an iso- lated stationary black hole, the problem is fully integrable. However, the pres- ence of any other source of gravitation disrupts this property and the geodesic motion may become chaotic. In the following work we study the dynamics of motion around a Schwarzschild black hole surrounded by inverted Kuzmin- Toomre disks. To integrate the geodesics equation, we have developed a new code and investigated in detail some numerical methods, in particular, we com- pared Runge-Kutta methods and modified symplectic integrators. 1
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