Characteristics of Cylindrically Symmetric Spacetimes in General Relativity
| Autor: | Ming-sian Lin, 林明賢 |
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| Rok vydání: | 2016 |
| Druh dokumentu: | 學位論文 ; thesis |
| Popis: | 104 The main purpose of this thesis is trying to discuss the characteristics of cylindrically symmetric solutions of general relativity. First, we start from the vacuum solution, which is also called the Levi-Civita solution, and then we are going to make the Levi-Civita solution in weak field to correspond with Newtonian gravity theory with cylindrical symmetry. Next, we will try to use the cylindrical model to describe the gravity effect of light. The gravitational effect for a single photon is diffcult, because we cannot find the symmetry of moving photons easily. So we focus on the gravitational effect for a beam of light, which is cylindrically symmetric. Then, we are try to combine two solutions, corresponding to the interior and exterior, of a beam of light. Afterwards, we try to find a kind of time-evolution solution. The solution not only maintains the Levi-Civita solution form, but also includes time evolution. Finally, we are try to find electric and magnetic solution in cylindrical symmetry. Magnetism is very especial, because it is not spherically symmetric, instead it has cylindrical symmetry. |
| Databáze: | Networked Digital Library of Theses & Dissertations |
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