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National Repository of Grey Literature 2 records found  Search took 0.00 seconds. 
Parameterization of the Kerr solution
 Miškovský, David ; Švarc, Robert (advisor) ; Scholtz, Martin (referee)
In this thesis we are exploring basic properties of the Kerr solution using se- veral coordinate systems. Later on, we are deriving general metric form of the spacetime foliated by null hypersurfaces. Employing the formalism of optical sca- lars we shall see, that geometry of a such a spacetime is non-twisting, that is it admits existence of a non-twisting affinely parametrized null geodesic congru- ence. Subsequently, we are trying to express the Kerr solution in the form of non-twisting coordinates. This form would have many applications e.g. in forma- lism of weakly isolated horizons (WHIs) for use in more realistic astrophysical models of black holes.
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Numerical implementation of equations for photon motion in Kerr spacetime
 Bursa, Michal
Raytracing is one of the essential tools for accurate modeling of spectra and variability of various astrophysical objects. It has a major importance in relativisticenvironments, where light endures to a number of relativistic effects. Because the trajectories of light rays in curved spacetimes, and in Kerr spacetime in particular, are highly non-trivial, we summarize the equations governing the motion of photon\n(or any other zero rest mass particle) and give analytic solution of the equations thatcan be further used in practical computer implementations.
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