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Conformally flat solutions of Einstein's equations
Prikryl, Ondřej ; Podolský, Jiří (advisor) ; Krtouš, Pavel (referee)
The aim of this work is to study relations between some families of exact solutions of Einstein's gravitational field equations, in particular the conformally flat spacetimes with plain radiation (or analogous solutions of the algebraic type N) and a cosmological constant. Specifically, we present explicit transformations between the metric forms which have been recently found by Edgar and Ramos and solutions of the type found by Ozsváth, Robinson and Rózga that ar known since 1980's. Powered by TCPDF (www.tcpdf.org)
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Geometric formulation of Hamiltonian mechanics
Švarc, Robert ; Podolský, Jiří (advisor) ; Krtouš, Pavel (referee)
Nazcv pra.ce: Gcometricka formulaee Ilamiltoiiovy mechaiiiky Autor: Robert Svarc Katedra (ustav): Osl.av teoretieke fyziky Vedouci bakalafsko prace: Doc.RNDr. Jin Podolsky, CSc. e-mail vedouciho: Jin. Podolsk ^hiiff. cuni.cz Abstrakt: V pfcdlo/eno praei stndnjome geometrickon formulae! Hamilto- uovy niecliauiky. Nejprve se zabyvame situaci, kdy hamiltouian ne/avisi na case. V tomto pfi'i)ade jo pfislusnou gconiotrickou arenou 2//-diinonziona.lni syniplokticka varieta. Naskvlno pfipmistimo casove zavisle ha.miltoniany a pfechii/iiiic na 2n -\ I dimeiizionalai ro/sirony lazovy prustor. Vyvoj mccha- uickeho systoniu jo v obon prij)adooh uroon intogralnimi kfivkami voktoro- voho pole, kloro jo dano Hainiltonovymi kanonickyini rovniconii. Pro oba pfijjady rovnoz zavadimo kanonicko transformace. Na znvor goomcticky in- terpretujein HainiltonovLi-Jacobiho rovnici. Title: Geometric formulation of Hamiltoiiian mecluuiics Author: Robert, Svarc Department: Institute of Theoretical Physics Supervisor: Doc.R.NDr. Jifi Podolskj', CSc. Supervisor's e-mail address: Jiri.PodolskyOmfl.cuni.cz Abstract: In this work we study geometric formulation of Ilamiltonian me- chanics. At the beginning wolook at situation, when the Hamiltoiiian function is time-independent. In this case our geometric arena, is the ^//-dimensional...
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Geometric formulation of Lagrangian mechanics
Štrupl, František ; Podolský, Jiří (advisor) ; Krtouš, Pavel (referee)
In the present work we study application of differential geometry to the Lagrangian formalism. In the first chapter we summariz e the foundations of geometric formulation of Lagrangian mechanics,in particular eshow the principal meaning of the tagent bundle of the configuration mani-fold and dynamical vector field which solves the Lagrange equations in theirgeometrical form. The Noether's theorem is also formulatedand proved. The second chapter introduces other geometrical definitions related to theLagrangian formalism, such as fiber space, lifts, second-order vector fieldsand Lagrangian vector fields. The existence of symplectic structure and Hamiltonian dynamics on the tangent bundle of the configuration manifold is also demonstrated. Powered by TCPDF (www.tcpdf.org)
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Záření v modelech s kosmologickou konstantou
Kadlecová, Hedvika ; Pravda, Vojtěch (referee) ; Podolský, Jiří (advisor)
Title: Gravitational ji.t'ld of gyratons on various background spacetrm.es Author: Hcdvika Kadlecovd Department: Institute of Theoretical Ph.ys-i.es Supervisor: doc. Pavel Krtous. Ph.D. Supervisor's e-mail address: Pavel.Krtou.s({hnff.rum.cz Abstract: In this work we have, found, and, analyzed, several gyraton solutions on various non-trivial backgrounds in the large. Kundt class of spacet'imes. Namely, the gyraton solutions on direct product spacctiincs, ayraton solutions on Melvin universe and its generalization which includes the cosmological constant. These, solutions are. of algebraic type II. Also me have investigated, type III solutions within the Kundt class and we have found the. gyratons on de Sitter spacctiw.e. We have, generalized, the gyraton solutions on direct product spacetimes to higher dimensions. Keywords: Kundt class of spaceti.mes, gravitational waves, Einstein-Maxwell equations, NP formalism Nazev prace: Grauitaeni pole gyratonu na pozadich rdznych prostorocasu Autor: Hcdvika Kadlecovd Utitav: Institul tcorcitcke jyziky Skolitel: doc. Panel Krtou.s, Ph.D. Skolitelova o-mailova adrc.sa: Pavcl..Krtous@mff.cttni.cz Abstract: V teto prdc.i jsnie nale.zh a analyzouaii, ne.kolik ru.zvijcli gyratonovych fcsc.ni' na ru.znych, netrividln-ich, pozadich, z sirokc trf.de Kundtovych prostoroc.asu:...
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Valuation of the company Únětický pivovar a.s.
Podolský, Jiří ; Brabenec, Tomáš (advisor) ; Hamplová, Barbora (referee)
The thesis aims to determine the value of equity of the company Únětický pivovar, a. s. as of January 1st, 2014. It does not have a theoretical and practical part as usual. It is a complex unit, in which the concepts and methods are explained straight away. The paper is divided into five main parts. Introduction of company profile is followed by strategic analysis, which deals with analysis of the external potential of beer market and internal potential of the company. The next part, financial analysis, gives a picture of financial results, health and stability of the company and other comparable breweries. The output of the chapter Value drivers is the financial plan, which is crucial for company valuation using the method of discounted cash flow (DCF). The final chapter contains an application of Monte Carlo simulations, which enriches the conclusions by offering probability distribution of the value of the company.
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Financial analysis of Pivovar Svijany a.s.
Podolský, Jiří ; Schönfeld, Jaroslav (advisor) ; Horník, Tomáš (referee)
In order to truly find out about the observed company's financial situation and it's future expectations, we need more than just a general wiev on data contained in the financial statement which is a part of the annual report. These do give us actual insight into the last year's situation, but they still lack sufficient evidence. To better understand the economy of a given company we use financial analysis. It puts individual data into mutual connection and using various models it helps to find out about the company's situation. In my work I carry out financial analysis of Pivovar Svijany a.s. from the wiev of an external user for years 2005 to 2009. In it's first part I describe particular methods used in my analysis. The second -- pivotal part of my work includes the actual analysis, interpretation of it's results and lastly a synthesis of discovered information and a conclusion.
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