FRW Universe Models in Conformally Flat Spacetime Coordinates. I: General Formalism
Oyvind Gron, Steinar Johannesen
TL;DR
This paper develops a general formalism for transforming FRW universe models into conformally flat spacetime coordinates, providing new formulas for coordinate transformations and recession velocities, enhancing understanding of cosmological models.
Contribution
It introduces a comprehensive formula for all conformally flat transformations and derives a new general expression for recession velocity in FRW models.
Findings
Derived a universal transformation formula for conformally flat coordinates.
Established a general formula for recession velocity in cosmological models.
Identified new transformations extending known conformally flat coordinate systems.
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.
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