Geodesic
On a conformally flat space-time
Theoretical and applied mechanics, Tome 16 (1990) no. 1, p. 79 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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In this article we propose a metric based on Godel's cosmological model. The metric tensor only depends on time. Two functions of the proposed metric are determined from the condition that the Ricci tensor is proportional to the metric tensor. In this way we obtain an example of Einstein spaces. Then, we find coordinate transformations that transform the proposed metric into a diagonal metric. In this way we demonstrate that the proposed metric represents the space conforming to that of Minkowski. 
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     author = {Dragi Radojevi\'c},
     title = {On a conformally flat space-time},
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     number = {1},
     language = {en},
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Dragi Radojević. On a conformally flat space-time. Theoretical and applied mechanics, Tome 16 (1990) no. 1, p. 79 . http://geodesic.mathdoc.fr/item/TAM_1990_16_1_a9/