The general solutions of the Robertson-Walker null-geodesic and their implications.

Mathematics – Logic

Scientific paper

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Relativity Theory: Robertson-Walker Metric

Scientific paper

The Robertson-Walker metric gives mathematical expression to three widely-held assumptions about the nature of the observable universe. It is shown that the null-geodesic of this metric has little-known solutions for the speed and distance of a light-signal relative to its source. Some implications of these results are considered, the most interesting of these being that only in a universe whose 3-space is Euclidean (k = 0) will the behaviour of light on the cosmological scale be compatible with our understanding of light behaviour on the local scale.

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