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Gravitational field of gyratons on various background spacetimes
Kadlecová, Hedvika
Title: Gravitational field of gyratons on various background spacetimes Author: Hedvika Kadlecová Department: Institute of Theoretical Physics Supervisor: doc. Pavel Krtouš, Ph.D. Supervisor's e-mail address: Pavel.Krtous@mff.cuni.cz Abstract: In this work we have found and analyzed several gyraton solutions on various non-trivial backgrounds in the large Kundt class of spacetimes. Namely, the gyraton solutions on direct product spacetimes, gyraton solutions on Melvin universe and its generalization which includes the cosmological constant. These solutions are of algebraic type II. Also we have investigated type III solutions within the Kundt class and we have found the gyratons on de Sitter spacetime. We have generalized the gyraton solutions on direct product spacetimes to higher dimensions. Keywords: Kundt class of spacetimes, gravitational waves, Einstein-Maxwell equations, NP formalism Název práce: Gravitační pole gyratonů na pozadích různých prostoročasů Autor: Hedvika Kadlecová Ústav: Institut teoretické fyziky Školitel: doc. Pavel Krtouš, Ph.D. Školitelova e-mailová adresa: Pavel.Krtous@mff.cuni.cz Abstrakt: V této práci jsme nalezli a analyzovali několik různých gyratonových řešení na různých netriviálních pozadích z široké třídě Kundtových prostoročasů:...
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Algebraically special spacetimes - geometrical properties
Kuchynka, Martin ; Pravdová, Alena (advisor) ; Švarc, Robert (referee)
In the thesis, we set out to study a certain class of algebraically special spacetimes in arbitrary dimension. These are the so-called spacetimes of Weyl and traceless Ricci type N. Our work can be divided into two parts. In the first part, we study general geometrical properties of spacetimes under consideration. In particular, we are interested in various properties of aligned null directions - certain significant null directions associated with algebraic structure of the Weyl and the Ricci tensor. Since the obtained results are of geometric nature, they are theory-independent and thus hold in Einstein's gravity as well as in its various generalizations. In the second part of our work, we apply these general results in the Einstein-Maxwell p-form theory, within which spacetimes of traceless Ricci type N emerge naturally as a part of a solution of the Einstein-Maxwell equations with a null Maxwell field. Powered by TCPDF (www.tcpdf.org)
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Symmetries of systems in spaces related to high-dimensional black hole spacetime
Kolář, Ivan ; Krtouš, Pavel (advisor) ; Kubizňák, David (referee)
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.
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Gravitational field of gyratons on various background spacetimes
Kadlecová, Hedvika
Title: Gravitational field of gyratons on various background spacetimes Author: Hedvika Kadlecová Department: Institute of Theoretical Physics Supervisor: doc. Pavel Krtouš, Ph.D. Supervisor's e-mail address: Pavel.Krtous@mff.cuni.cz Abstract: In this work we have found and analyzed several gyraton solutions on various non-trivial backgrounds in the large Kundt class of spacetimes. Namely, the gyraton solutions on direct product spacetimes, gyraton solutions on Melvin universe and its generalization which includes the cosmological constant. These solutions are of algebraic type II. Also we have investigated type III solutions within the Kundt class and we have found the gyratons on de Sitter spacetime. We have generalized the gyraton solutions on direct product spacetimes to higher dimensions. Keywords: Kundt class of spacetimes, gravitational waves, Einstein-Maxwell equations, NP formalism Název práce: Gravitační pole gyratonů na pozadích různých prostoročasů Autor: Hedvika Kadlecová Ústav: Institut teoretické fyziky Školitel: doc. Pavel Krtouš, Ph.D. Školitelova e-mailová adresa: Pavel.Krtous@mff.cuni.cz Abstrakt: V této práci jsme nalezli a analyzovali několik různých gyratonových řešení na různých netriviálních pozadích z široké třídě Kundtových prostoročasů:...
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