Wisse, Floris (2020) Relativity meets ultra-relativity. Master's Thesis / Essay, Physics.
|
Text
Thesis_Floris.pdf Download (900kB) | Preview |
|
![[img]](https://fse.studenttheses.ub.rug.nl/style/images/fileicons/text.png) |
Text
toestemming.pdf Restricted to Registered users only Download (117kB) |
Abstract
In this thesis we examine Carroll physics, taking the speed of light to 0 in a limit. The motivation for this is that in recent years, several applications of Carroll physics have come to light, such as in the study of black holes, gravitational waves and holography. We will examine what Carroll geometry is, and how particles and strings travel through a curved Carroll spacetime. In order to do this, we will compare Carroll physics with Galilean physics, which is in some sense dual to Carroll physics. The similarity between the Carroll algebra and the Galilean algebra is especially clear when considering only 2 spacetime dimensions. More generally, we may consider generalised `Galilean' algebras which are important when describing strings and p-branes with low energies. These are very similar to generalised Carroll algebras. Given a `Galilean' gravity theory adapted to p-branes, where the corresponding symmetry group is given by an extension of a p-brane Galilei group, we may use this similarity to immediately write down a similarly generalised Carrollian gravity theory. We will investigate this similarity at the level of the classical particle and string sigma-models. When interpreting Carroll spacetime as a limit of a Lorentzian spacetime, in some cases the resulting sigma-models describe superluminal objects. These cases include low energy p-branes coupling to p-brane Galilean gravity theories. We will however also encounter examples where this is not the case.
| Item Type: | Thesis (Master's Thesis / Essay) |
|---|---|
| Supervisor name: | Bergshoeff, E.A. and Mazumdar, A. |
| Degree programme: | Physics |
| Thesis type: | Master's Thesis / Essay |
| Language: | English |
| Date Deposited: | 06 Nov 2020 10:55 |
| Last Modified: | 06 Nov 2020 10:55 |
| URI: | https://fse.studenttheses.ub.rug.nl/id/eprint/23576 |
Actions (login required)
 |
View Item |