Publication at Faculty of Mathematics and Physics |
2011
Abstract
We study the chaotic features of time-like free motion around a Schwarzschild black hole, induced by the presence of a static, axially and reflectionally symmetric thin disc or ring. We describe the field by an exact (Weyl-type) solution of Einstein's equations and use Poincaré sections and time-series analysis in order to recognise overall tendencies in the evolution of phase portrait as well as changes that can be traced down to single orbits and their segments.