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Point particle kinematics and light propagation in de Sitter spacetime
Michalík, Tomáš ; Hinterleitner,, Franz (referee) ; Larsen, Klaus Bering (advisor)
V této práci se zabýváme de Sitterovou speciální relativiou, která se odehrává v de Sitterově časoprostoru namísto Minkowského časoprostoru. Začínáme studií grupy symetrie de Sitterova časoprostoru. Snažíme se použít tyto poznatky k rozvinutí kinematiky v de Sitterově časoprostoru. Dále přezkoumáváme spojení mezi elektrodynamikou na pevně zvoleném časoprostoru a elektrodynamikou v makroskopickém médiu v plochém časoprostoru. Toto aplikujeme na de Sitterův časoprostor a hledáme index lomu sdruženého média.
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Teorie relativity - jak na středoškolské úrovni rozvíjet její pochopení
Ryston, Matěj ; Dvořák, Leoš (advisor) ; Novotný, Jan (referee) ; Šlégr, Jiří (referee)
The goal of this doctoral thesis is to find and implement possible ways to facilitate secondary school students' understanding of relativity. The thesis starts with an overview of existing literature as well as ongoingstudies concerned with teachingrelativityto secondarystudents, especially in connection with possible misconceptions and other learning difficulties. Furthermore, it maps available book and internet sources on relativity in both Czech and English that students might use outside of school. A research of Czech curricular documents for upper secondaryeducationandan online surveyamonggymnasium physics teachers were used to assess the current situation of teaching relativity in these schools. Based on the mentioned research, it was decided to develop learning resources focused on General Relativity. Following an analysis of a selection of relativity textbooks on this topic, a study website for interested students as well as a teaching-learningsequence for teachers to adapt in their own teaching were developed. The development and assessment of these materials are described in detail.
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Electromagnetic Waves in Dispersiveand Refractive Relativistic Systems
Bezděková, Barbora ; Bičák, Jiří (advisor) ; Heyrovský, David (referee)
Study of light rays (light world lines) plays a significant role in many of astro- physical applications. Light rays are mainly studied in terms of so-called grav- itational lensing. However, the majority of studies are mainly focused on light propagation in vacuum. If the refractive and dispersive medium characterised by refractive index n is considered, effects occurring due to the medium presence need to be taken into account, which significantly complicates the problem. In the present thesis, rays propagating through simple refractive and dispersive systems, such as plane differentially sheared medium, are studied. In order to simplify the problem, the Hamiltonian equations of motion are used. The ray trajectories in the vicinity of Kerr black hole as well as accessible regions for the rays are also studied. Radial variation of the medium velocity is considered. Due to the recent increase of publications focused on the gravitational lensing in plasma, a detailed review summarizing the results obtained recently is included. 1
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Electromagnetic Waves in Dispersiveand Refractive Relativistic Systems
Bezděková, Barbora ; Bičák, Jiří (advisor) ; Heyrovský, David (referee)
Study of light rays (light world lines) plays a significant role in many of astro- physical applications. Light rays are mainly studied in terms of so-called grav- itational lensing. However, the majority of studies are mainly focused on light propagation in vacuum. If the refractive and dispersive medium characterised by refractive index n is considered, effects occurring due to the medium presence need to be taken into account, which significantly complicates the problem. In the present thesis, rays propagating through simple refractive and dispersive systems, such as plane differentially sheared medium, are studied. In order to simplify the problem, the Hamiltonian equations of motion are used. The ray trajectories in the vicinity of Kerr black hole as well as accessible regions for the rays are also studied. Radial variation of the medium velocity is considered. Due to the recent increase of publications focused on the gravitational lensing in plasma, a detailed review summarizing the results obtained recently is included. 1
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Point particle kinematics and light propagation in de Sitter spacetime
Michalík, Tomáš ; Hinterleitner,, Franz (referee) ; Larsen, Klaus Bering (advisor)
V této práci se zabýváme de Sitterovou speciální relativiou, která se odehrává v de Sitterově časoprostoru namísto Minkowského časoprostoru. Začínáme studií grupy symetrie de Sitterova časoprostoru. Snažíme se použít tyto poznatky k rozvinutí kinematiky v de Sitterově časoprostoru. Dále přezkoumáváme spojení mezi elektrodynamikou na pevně zvoleném časoprostoru a elektrodynamikou v makroskopickém médiu v plochém časoprostoru. Toto aplikujeme na de Sitterův časoprostor a hledáme index lomu sdruženého média.
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