2007
DOI: 10.1143/ptp.118.475
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Conformally Flat FRW Metrics

Abstract: We find a new family of non-separable coordinate transformations bringing the FRW metrics into the manifestly conformally flat form. Our results are simple and complete, while our derivation is quite explicit. We also calculate all the FRW curvatures, including the Weyl tensor.

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Cited by 36 publications
(56 citation statements)
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“…This generalises a corresponding expression deduced by Iihoshi et al [9] who have put a = 0. As will be shown below, our more general choice gives us a new solution not obtainable with a = 0.…”
Section: Conformal Coordinates In Frw Universe Modelssupporting
confidence: 89%
See 2 more Smart Citations
“…This generalises a corresponding expression deduced by Iihoshi et al [9] who have put a = 0. As will be shown below, our more general choice gives us a new solution not obtainable with a = 0.…”
Section: Conformal Coordinates In Frw Universe Modelssupporting
confidence: 89%
“…It is therefore possible to introduce coordinates (T, R) so that the line element has a conformally flat form [6][7][8][9]. These types of coordinates were introduced in the description of relativistic universe models by L.Infield and A.Schild [6], who sacrificed the advantage of the standard description where freely moving reference particles have constant coordinates, for a metric conformal to Minkowski spacetime, where the speed of light is constant.…”
Section: Conformal Coordinates In Frw Universe Modelsmentioning
confidence: 99%
See 1 more Smart Citation
“…Therefore, the 4-dim Weyl tensor of the FRW metric obvioulsy vanishes in the 'flat' case of k = 0. In fact, the FRW Weyl tensor vanishes in the other two cases, k = −1 and k = +1, too [9], thus C The inflation in early universe is defined as an epoch during which the scale factor is accelerating [1],…”
Section: Superstrings-modified Gravity Equationsmentioning
confidence: 99%
“…Sopuerta 30 and Keane and Barrett 31 derived transformations from the RW metrics to conformal form without special treatment of the K = −1 case. During the revision of this manuscript Iihoshi et al 32 posted a paper giving the full solution,…”
Section: Introductionmentioning
confidence: 99%