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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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Bibliographic Details
Published in:Journal of mathematical physics 1967-01, Vol.8 (1), p.118-123
Main Author: Tauber, G. E.
Format: Article
Language:English
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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.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.1705088