Einstein universe

Einstein universe

[′īn‚stīn ′yü·nə‚vərs]
(relativity)
A model of the universe which is a four-dimensional cylindrical surface in a five-dimensional space.
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In terms of the required physical meaning of General Relativity I shall call a spacetime associated with a non-degenerate metric, an Einstein universe, and the associated metric an Einstein metric.
Thus, any "partially" degenerate metric where g[not equal to]0 is not an Einstein metric, and the associated space is not an Einstein universe.
If the required form (3) is relaxed, in which case the resulting metric is non-Einstein, and cannot therefore describe an Einstein universe, (8) can be written as,
Their line-elements therefore cannot describe any Einstein universe.
This is a line-element which cannot describe an Einstein universe.
This line-element cannot describe an Einstein universe.
Furthermore, metric (55) cannot represent an Einstein universe and therefore has no cosmological meaning.
George Bernard Shaw declared to radio listeners that Newtonianism "had crumpled up and was succeeded by the Einstein universe.
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