A Lagrangian formulation of a theory of a scalar field superfluid dark matter
| dc.contributor.advisor | Larena, Julien | |
| dc.contributor.advisor | Osano, Bob | |
| dc.contributor.author | Tema, Seturumane | |
| dc.date.accessioned | 2023-03-13T09:54:33Z | |
| dc.date.available | 2023-03-13T09:54:33Z | |
| dc.date.issued | 2022 | |
| dc.date.updated | 2023-02-21T07:23:02Z | |
| dc.description.abstract | In this thesis we discuss the dynamics of the relativistic Lagrangian of the theory of dark matter superfluidity. The second and third chapters of the thesis are a review. In the fourth chapter we show that a complex scalar field whose dynamics are dictated by such a Lagrangian, models dust in the background universe on cosmological scale. Prior to our calculations, the theory was shown to model dust on cosmological scale and a superfluid on galactic scale in the non-relativistic case [1]. This project, extends the non-relativistic theory, to include the relativistic background. We continued, using the relativistic Lagrangian, to investigate how perturbations of such a theory grow in a perturbed universe, and found that the density contrast (of the theory) is constant when the complex scalar field is not coupled to baryons in the weak-field limit. | |
| dc.identifier.apacitation | Tema, S. (2022). <i>A Lagrangian formulation of a theory of a scalar field superfluid dark matter</i>. (). ,Faculty of Science ,Department of Mathematics and Applied Mathematics. Retrieved from http://hdl.handle.net/11427/37371 | en_ZA |
| dc.identifier.chicagocitation | Tema, Seturumane. <i>"A Lagrangian formulation of a theory of a scalar field superfluid dark matter."</i> ., ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 2022. http://hdl.handle.net/11427/37371 | en_ZA |
| dc.identifier.citation | Tema, S. 2022. A Lagrangian formulation of a theory of a scalar field superfluid dark matter. . ,Faculty of Science ,Department of Mathematics and Applied Mathematics. http://hdl.handle.net/11427/37371 | en_ZA |
| dc.identifier.ris | TY - Master Thesis AU - Tema, Seturumane AB - In this thesis we discuss the dynamics of the relativistic Lagrangian of the theory of dark matter superfluidity. The second and third chapters of the thesis are a review. In the fourth chapter we show that a complex scalar field whose dynamics are dictated by such a Lagrangian, models dust in the background universe on cosmological scale. Prior to our calculations, the theory was shown to model dust on cosmological scale and a superfluid on galactic scale in the non-relativistic case [1]. This project, extends the non-relativistic theory, to include the relativistic background. We continued, using the relativistic Lagrangian, to investigate how perturbations of such a theory grow in a perturbed universe, and found that the density contrast (of the theory) is constant when the complex scalar field is not coupled to baryons in the weak-field limit. DA - 2022_ DB - OpenUCT DP - University of Cape Town KW - Maths and Applied Mathematics LK - https://open.uct.ac.za PY - 2022 T1 - A Lagrangian formulation of a theory of a scalar field superfluid dark matter TI - A Lagrangian formulation of a theory of a scalar field superfluid dark matter UR - http://hdl.handle.net/11427/37371 ER - | en_ZA |
| dc.identifier.uri | http://hdl.handle.net/11427/37371 | |
| dc.identifier.vancouvercitation | Tema S. A Lagrangian formulation of a theory of a scalar field superfluid dark matter. []. ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 2022 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/37371 | en_ZA |
| dc.language.rfc3066 | eng | |
| dc.publisher.department | Department of Mathematics and Applied Mathematics | |
| dc.publisher.faculty | Faculty of Science | |
| dc.subject | Maths and Applied Mathematics | |
| dc.title | A Lagrangian formulation of a theory of a scalar field superfluid dark matter | |
| dc.type | Master Thesis | |
| dc.type.qualificationlevel | Masters | |
| dc.type.qualificationlevel | MSc |