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Special case
edit- The Riemann tensor vanishes only when a single and the rest vanish. This has the interesting consequence that this particular Kasner solution must be a solution of any extension of general relativity in which the field equations are built from the Riemann tensor. [1]
Eh... if you'll forgive the "original research", if the Riemann tensor vanishes, it's flat, and I provided the co-ordinate transformation. --192.75.48.150 (talk) 15:34, 31 October 2014 (UTC)