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On a Collinson’s Theorem about Empty Spacetime Embedded into a Space of Constant Curvature

J. López-Bonilla, D. Romero-Jiménez, A. Zaldívar-Sandoval


We use a theorem of Synge to show that no non-flat vacuum R4 can be embedded into a five-dimensional space of constant curvature, which was proved by Collinson employing results of Szekeres.

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