Cosmological models in globally geodesic coordinates. I. Metric

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Abstract
A thought method of measuring distances and recording times by using light signals and the observer’s own clock is introduced into cosmological models of homogeneous and isotropic universes. From this a coordinate transformation that brings the Robertson–Walker metric into a new coordinate system is derived. It is found that this system is a globally geodesic coordinate system that reduces to a local inertial frame at the position of the observer who is moving freely with the cosmological fluid.

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