Full Text Available
Note: Clicking the button above will open the full text document at the original institutional repository in a new window.
Ricci Time in Lemaître-Tolman Model and Block Universe
Includes bibliographical references.
Saved in:
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Thesis |
| Language: | English |
| Published: |
Department of Mathematics and Applied Mathematics
2015
|
| Subjects: | |
| Tags: |
No Tags, Be the first to tag this record!
|
| _version_ | 1867613224599289856 |
|---|---|
| access_status_str | Open Access |
| author | Elmahalawy,Yasser Reda Ahmed Abdelhamid |
| author2 | Hellaby, Charles |
| author_browse | Elmahalawy,Yasser Reda Ahmed Abdelhamid Hellaby, Charles |
| author_facet | Hellaby, Charles Elmahalawy,Yasser Reda Ahmed Abdelhamid |
| author_sort | Elmahalawy,Yasser Reda Ahmed Abdelhamid |
| collection | Thesis |
| description | Includes bibliographical references. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/13373 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:32:44.899Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2015 |
| publishDateRange | 2015 |
| publishDateSort | 2015 |
| 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:11427/13373 Ricci Time in Lemaître-Tolman Model and Block Universe Elmahalawy,Yasser Reda Ahmed Abdelhamid Hellaby, Charles Ellis, GFR Mathematics and Applied Mathematics Includes bibliographical references. It is common to think of our universe according to the "block universe" idea, which says that spacetime consists of many "stacked" 3-surfaces varied as a function of some kind of proper time Ƭ. Standard ideas do not distinguish past and future, but Ellis' "evolving block universe" tries to make a fundamental distinction. One proposal for this proper time is the proper time measured along the timelike Ricci eigenlines, starting from the big bang. The main idea of this work is to investigate the shape of the {Ƭ=constant} surfaces relative to the the null surfaces, and determine what makes these surfaces timelike or spacelike. We use the Lemaître-Tolman metric as our inhomogeneous spacetime model, and we find the necessary and sufficient conditions for these {Ƭ=constant} surfaces to be spacelike or timelike. Furthermore, we indicate whether or not timelike surfaces appear inside black holes and other strong gravity domains, by determining the location of the timelike regions relative to the apparent horizon. Based on this idea, we find that the regions where these surfaces become timelike are often close to the apparent horizons, but always outside them, and in particular timelike regions occur outside black holes. They are always spacelike near the big bang, and at late times (near the crunch or the extreme far future), they are only timelike under special circumstances. 2015-07-03T10:33:42Z 2015-07-03T10:33:42Z 2014 Master Thesis Masters MSc http://hdl.handle.net/11427/13373 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science University of Cape Town |
| spellingShingle | Mathematics and Applied Mathematics Elmahalawy,Yasser Reda Ahmed Abdelhamid Ricci Time in Lemaître-Tolman Model and Block Universe |
| thesis_degree_str | Master's |
| title | Ricci Time in Lemaître-Tolman Model and Block Universe |
| title_full | Ricci Time in Lemaître-Tolman Model and Block Universe |
| title_fullStr | Ricci Time in Lemaître-Tolman Model and Block Universe |
| title_full_unstemmed | Ricci Time in Lemaître-Tolman Model and Block Universe |
| title_short | Ricci Time in Lemaître-Tolman Model and Block Universe |
| title_sort | ricci time in lemaitre tolman model and block universe |
| topic | Mathematics and Applied Mathematics |
| url | http://hdl.handle.net/11427/13373 |
| work_keys_str_mv | AT elmahalawyyasserredaahmedabdelhamid riccitimeinlemaitretolmanmodelandblockuniverse |