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Does the Principle of Equivalence apply to the Large-scale Curavature of the Universe?

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Does the Principle of Equivalence apply to the Large-scale Curavature of the Universe?

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The Roberston-Walker metric, which describes the curvature of the universe is derived from General Relativity. The Principle of Equivalence suggests that no physical difference can be distinguished between an accelerating frame and one in a gravitational field.

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