Full Text Available
Note: Clicking the button above will open the full text document at the original institutional repository in a new window.
1+1+2 covariant approach to gravitational lensing in f(R) gravity
Includes bibliographical references (pages 64-67).
Saved in:
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Thesis |
| Language: | English |
| Published: |
Department of Mathematics and Applied Mathematics
2016
|
| Subjects: | |
| Tags: |
No Tags, Be the first to tag this record!
|
| _version_ | 1867613396343455744 |
|---|---|
| access_status_str | Open Access |
| author | Nzioki, Anne Marie |
| author2 | Dunsby, Peter |
| author_browse | Dunsby, Peter Nzioki, Anne Marie |
| author_facet | Dunsby, Peter Nzioki, Anne Marie |
| author_sort | Nzioki, Anne Marie |
| collection | Thesis |
| description | Includes bibliographical references (pages 64-67). |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/17116 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:35:29.065Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2016 |
| publishDateRange | 2016 |
| publishDateSort | 2016 |
| 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:11427/17116 1+1+2 covariant approach to gravitational lensing in f(R) gravity Nzioki, Anne Marie Dunsby, Peter Mathematics and Applied Mathematics Includes bibliographical references (pages 64-67). In this thesis, we develop the 1 + 1 + 2 formalism, a technique originally devised for General Relativity, to treat spherically symmetric spacetimes in for fourth order theories of gravity. Using this formalism, we derive equations for a static and spherically symmetric spacetime for general f(R) gravity. We apply these master eqautions to derive some exact solutions, which are used to gain insight on Birkhoff's theorem in this framework. Additionally, we derive a covariant form of the lensing angle for a specific spherically symmetric solution in f(R) = Rn gravity. 2016-02-18T12:15:32Z 2016-02-18T12:15:32Z 2009 Master Thesis Masters MSc http://hdl.handle.net/11427/17116 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science University of Cape Town |
| spellingShingle | Mathematics and Applied Mathematics Nzioki, Anne Marie 1+1+2 covariant approach to gravitational lensing in f(R) gravity |
| thesis_degree_str | Master's |
| title | 1+1+2 covariant approach to gravitational lensing in f(R) gravity |
| title_full | 1+1+2 covariant approach to gravitational lensing in f(R) gravity |
| title_fullStr | 1+1+2 covariant approach to gravitational lensing in f(R) gravity |
| title_full_unstemmed | 1+1+2 covariant approach to gravitational lensing in f(R) gravity |
| title_short | 1+1+2 covariant approach to gravitational lensing in f(R) gravity |
| title_sort | 1 1 2 covariant approach to gravitational lensing in f r gravity |
| topic | Mathematics and Applied Mathematics |
| url | http://hdl.handle.net/11427/17116 |
| work_keys_str_mv | AT nziokiannemarie 112covariantapproachtogravitationallensinginfrgravity |