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A Lagrangian formulation of a theory of a scalar field superfluid dark matter
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 b...
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| Format: | Thesis |
| Language: | English |
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Department of Mathematics and Applied Mathematics
2023
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| _version_ | 1867613232627187712 |
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| access_status_str | Open Access |
| author | Tema, Seturumane |
| author2 | Larena, Julien |
| author_browse | Larena, Julien Tema, Seturumane |
| author_facet | Larena, Julien Tema, Seturumane |
| author_sort | Tema, Seturumane |
| collection | Thesis |
| description | 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. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/37371 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:32:52.713Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2023 |
| publishDateRange | 2023 |
| publishDateSort | 2023 |
| publisher | Department of Mathematics and Applied Mathematics |
| publisherStr | Department of Mathematics and Applied Mathematics |
| record_format | dspace |
| source_str | UCTD — University of Cape Town Open Access Repository |
| spelling | oai:open.uct.ac.za:11427/37371 A Lagrangian formulation of a theory of a scalar field superfluid dark matter Tema, Seturumane Larena, Julien Osano, Bob Maths and Applied Mathematics 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. 2023-03-13T09:54:33Z 2023-03-13T09:54:33Z 2022 2023-02-21T07:23:02Z Master Thesis Masters MSc http://hdl.handle.net/11427/37371 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science |
| spellingShingle | Maths and Applied Mathematics Tema, Seturumane A Lagrangian formulation of a theory of a scalar field superfluid dark matter |
| thesis_degree_str | Master's |
| title | A Lagrangian formulation of a theory of a scalar field superfluid dark matter |
| title_full | A Lagrangian formulation of a theory of a scalar field superfluid dark matter |
| title_fullStr | A Lagrangian formulation of a theory of a scalar field superfluid dark matter |
| title_full_unstemmed | A Lagrangian formulation of a theory of a scalar field superfluid dark matter |
| title_short | A Lagrangian formulation of a theory of a scalar field superfluid dark matter |
| title_sort | lagrangian formulation of a theory of a scalar field superfluid dark matter |
| topic | Maths and Applied Mathematics |
| url | http://hdl.handle.net/11427/37371 |
| work_keys_str_mv | AT temaseturumane alagrangianformulationofatheoryofascalarfieldsuperfluiddarkmatter AT temaseturumane lagrangianformulationofatheoryofascalarfieldsuperfluiddarkmatter |