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Geodetický chaos v porušeném Schwarzschildově poli / Geodesic chaos in a perturbed Schwarzschild field

We study the dynamics of time-like geodesics in the field of black holes perturbed by a circular ring or disc, restricting to static and axisymmetric class of space-times. Two analytical methods are tested which do not require solving the equations of motion: (i) the so-called geometric criterion of chaos based on eigenvalues of the Riemann tensor, and (ii) the method of Melnikov which detects the chaotic layer arising by break-up of a homoclinic orbit. Predictions of both methods are compared with numerical results in order to learn how accurate and reliable they are.

Identiferoai:union.ndltd.org:nusl.cz/oai:invenio.nusl.cz:387190
Date January 2018
CreatorsPolcar, Lukáš
ContributorsSemerák, Oldřich, Kopáček, Ondřej
Source SetsCzech ETDs
LanguageEnglish
Detected LanguageEnglish
Typeinfo:eu-repo/semantics/masterThesis
Rightsinfo:eu-repo/semantics/restrictedAccess

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