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Symetrie systémů v prostorech příbuzných prostoročasu vícedimenzionální černé díry / Symmetries of systems in spaces related to high-dimensional black hole spacetime

In this work we study properties of the higher-dimensional generally rotating black hole space-time so-called Kerr-NUT-(A)dS and the related spaces with the same explicit and hidden symetries as the Kerr-NUT-(A)dS spacetime. First, we search commuta- tivity conditions for classical (charged) observables and their operator analogues, then we investigate a fulfilment of these conditions in the metioned spaces. We calculate the curvature of these spaces and solve the charged Hamilton-Jacobi and Klein-Gordon equations by the separation of the variables for an electromagnetic field, which pre- serves integrability of motion of a charged particle and mutual commutativity of the corresponding operators.

Identiferoai:union.ndltd.org:nusl.cz/oai:invenio.nusl.cz:332244
Date January 2014
CreatorsKolář, Ivan
ContributorsKrtouš, Pavel, Kubizňák, David
Source SetsCzech ETDs
LanguageCzech
Detected LanguageEnglish
Typeinfo:eu-repo/semantics/masterThesis
Rightsinfo:eu-repo/semantics/restrictedAccess

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