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We live in the centre of the universe that we observe, in apparent contradiction to the Copernican principle which says that the Universe is more or less uniform and it has no distinguished centre.
Secondly, whether or not the universe is multiply connected, is unknown.
Currently the evidence suggests not only that there is insufficient mass/energy to cause a recollapse, but that the expansion of the universe seems to be accelerating and will accelerate for the whole of eternity (see accelerating universe).
During the late 1990s, observations of type Ia supernovae suggested that the expansion of the universe is accelerating.
For the shape of the universe to be flat, the mass/energy density of the Universe must be equal to a certain critical density.
Specifically, when the volume of the universe doubles, the density of dark matter is halved but the density of dark energy is nearly unchanged (it is exactly constant in the case of a cosmological constant).