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Expanding Universe in Conformally Flat Coordinates
Einstein's field equations for a homogeneous isotropic universe are written in terms of a conformally flat coordinate system for both the closed and the open cases. It is shown that these can be readily integrated for equations of state of the form p = aρ in terms of algebraic functions. Explic...
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Published in: | Journal of mathematical physics 1967-01, Vol.8 (1), p.118-123 |
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Main Author: | |
Format: | Article |
Language: | English |
Citations: | Items that this one cites Items that cite this one |
Online Access: | Get full text |
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Summary: | Einstein's field equations for a homogeneous isotropic universe are written in terms of a conformally flat coordinate system for both the closed and the open cases. It is shown that these can be readily integrated for equations of state of the form p = aρ in terms of algebraic functions. Explicit solutions and expressions for the radius and Hubble factor are given for a = 1, ⅓, and for p = 0. |
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ISSN: | 0022-2488 1089-7658 |
DOI: | 10.1063/1.1705088 |