FRW Universe Models in Conformally Flat Spacetime Coordinates. I: General Formalism

Abstract

The 3-space of a universe model is defined at a certain simultaneity. Hence space depends on which time is used. We find a general formula generating all known and also some new transformations to conformally flat spacetime coordinates. A general formula for the recession velocity is deduced.

12 pages

References in corpus (4)

• On the Conformal forms of the Robertson-Walker metric
• Conformally flat FRW metrics
• Is space expanding in the Friedmann universe models?
• Conformal coordinates of a constant density star

Cited by in corpus (2)

• FRW Universe Models in Conformally Flat Spacetime Coordinates. II: Universe models with negative and vanishing spatial curvature
• FRW Universe Models in Conformally Flat Spacetime Coordinates. III: Universe models with positive spatial curvature