Total mass of a patch of a matter-dominated Friedmann-Robertson-Walker universe
Thesis: S.M., Massachusetts Institute of Technology, Department of Physics, 2017.
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| Format: | Thesis |
| Language: | eng |
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Massachusetts Institute of Technology
2017
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| Online Access: | http://hdl.handle.net/1721.1/112043 |
| _version_ | 1826195077329846272 |
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| author | Geller, Sarah (Sarah R.) |
| author2 | Alan H. Guth. |
| author_facet | Alan H. Guth. Geller, Sarah (Sarah R.) |
| author_sort | Geller, Sarah (Sarah R.) |
| collection | MIT |
| description | Thesis: S.M., Massachusetts Institute of Technology, Department of Physics, 2017. |
| first_indexed | 2024-09-23T10:06:58Z |
| format | Thesis |
| id | mit-1721.1/112043 |
| institution | Massachusetts Institute of Technology |
| language | eng |
| last_indexed | 2024-09-23T10:06:58Z |
| publishDate | 2017 |
| publisher | Massachusetts Institute of Technology |
| record_format | dspace |
| spelling | mit-1721.1/1120432019-04-12T22:52:04Z Total mass of a patch of a matter-dominated Friedmann-Robertson-Walker universe Geller, Sarah (Sarah R.) Alan H. Guth. Massachusetts Institute of Technology. Department of Physics. Massachusetts Institute of Technology. Department of Physics. Physics. Thesis: S.M., Massachusetts Institute of Technology, Department of Physics, 2017. Cataloged from PDF version of thesis. Includes bibliographical references (page 49). In this thesis, I have addressed the question of how to calculate the total relativistic mass for a patch of a spherically-symmetric matter-dominated spacetime of negative curvature. This calculation provides the open-universe analogue to a similar calculation first proposed by Zel'dovich in 1962. I consider a finite, spherically-symmetric (SO(3)) spatial region of a Friedmann-Robertson-Walker (FRW) universe surrounded with a vacuum described by the Schwarzschild metric. Provided that the patch of FRW spacetime is glued along its boundary to a Schwarzschild spacetime in a sufficiently smooth manner, the result is a spatial region of FRW which transitions smoothly to an asymptotically flat exterior region such that spherical symmetry is preserved throughout. I demonstrate that this mass diverges as the size of the patch is taken to include the entire universe, and discuss the intuition provided by a classical approximation to the total mass using the formalism of Newtonian Cosmology. by Sarah Geller. S.M. 2017-10-30T15:29:00Z 2017-10-30T15:29:00Z 2017 2017 Thesis http://hdl.handle.net/1721.1/112043 1006427831 eng MIT theses are protected by copyright. They may be viewed, downloaded, or printed from this source but further reproduction or distribution in any format is prohibited without written permission. http://dspace.mit.edu/handle/1721.1/7582 49 pages application/pdf Massachusetts Institute of Technology |
| spellingShingle | Physics. Geller, Sarah (Sarah R.) Total mass of a patch of a matter-dominated Friedmann-Robertson-Walker universe |
| title | Total mass of a patch of a matter-dominated Friedmann-Robertson-Walker universe |
| title_full | Total mass of a patch of a matter-dominated Friedmann-Robertson-Walker universe |
| title_fullStr | Total mass of a patch of a matter-dominated Friedmann-Robertson-Walker universe |
| title_full_unstemmed | Total mass of a patch of a matter-dominated Friedmann-Robertson-Walker universe |
| title_short | Total mass of a patch of a matter-dominated Friedmann-Robertson-Walker universe |
| title_sort | total mass of a patch of a matter dominated friedmann robertson walker universe |
| topic | Physics. |
| url | http://hdl.handle.net/1721.1/112043 |
| work_keys_str_mv | AT gellersarahsarahr totalmassofapatchofamatterdominatedfriedmannrobertsonwalkeruniverse |