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A covariant approach to gravitational lensing
Includes bibliography.
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| Main Author: | |
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| Other Authors: | |
| Format: | Thesis |
| Language: | English |
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Department of Mathematics and Applied Mathematics
2014
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| _version_ | 1867614441223225344 |
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| access_status_str | Open Access |
| author | De Swardt, Bonita |
| author2 | Dunsby, Peter K S |
| author_browse | De Swardt, Bonita Dunsby, Peter K S |
| author_facet | Dunsby, Peter K S De Swardt, Bonita |
| author_sort | De Swardt, Bonita |
| collection | Thesis |
| description | Includes bibliography. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/4879 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:52:05.543Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2014 |
| publishDateRange | 2014 |
| publishDateSort | 2014 |
| 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:11427/4879 A covariant approach to gravitational lensing De Swardt, Bonita Dunsby, Peter K S Clarkson, Chris Applied Mathematics Includes bibliography. The main focus of this thesis is to study the properties of null geodesics in general relativistic models. This thesis is divided into two parts. In the first part, we introduce the (1+3)-covariant approach which will be used in our study of null geodesics and their applications to gravitational lensing. The dynamics of the null congruence can be better understood through the propagation and constraint equations in the direction of the congruence. Thus, we derive these equations after describing the geomentry of a ray. We also derive a general from of the null geodesic deviation equation (NGDE) which can be used in any given space-time. Various applications of this equation are studied, including its role in determining area-distance relations in an Friedmann-Lemaitre-Robertson-Walker (FLRW) cosmological model. We also use the NGDE in deriving a covariant form of the angle of deflection, showing its versatile applications in gravitational lensing theory. 2014-07-31T08:07:02Z 2014-07-31T08:07:02Z 2004 Master Thesis Masters MSc http://hdl.handle.net/11427/4879 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science University of Cape Town |
| spellingShingle | Applied Mathematics De Swardt, Bonita A covariant approach to gravitational lensing |
| thesis_degree_str | Master's |
| title | A covariant approach to gravitational lensing |
| title_full | A covariant approach to gravitational lensing |
| title_fullStr | A covariant approach to gravitational lensing |
| title_full_unstemmed | A covariant approach to gravitational lensing |
| title_short | A covariant approach to gravitational lensing |
| title_sort | covariant approach to gravitational lensing |
| topic | Applied Mathematics |
| url | http://hdl.handle.net/11427/4879 |
| work_keys_str_mv | AT deswardtbonita acovariantapproachtogravitationallensing AT deswardtbonita covariantapproachtogravitationallensing |