Theorem for Nonrotating Singularity-Free Universes

Mathematics – Logic

Scientific paper

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Scientific paper

It is shown that all scalars built from the stress-energy tensor must have vanishing space-time average values in any nonrotating singularity-free universe in which the strong energy condition is satisfied. Application to the real universe, where observations seem to rule out such an ``empty'' universe, suggests that the hope of a reasonable realistic singularity-free cosmological model has to be abandoned.

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