Proof of the closed-universe recollapse conjecture for general Bianchi type IX cosmologies.

Details Proof of the closed-universe recollapse conjecture for general Bianchi type IX cosmologies. Proof of the closed-universe recollapse conjecture for general Bianchi type IX cosmologies.

Apr 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990phrvd..41.2444x&link_type=abstract

Physical Review D, Vol. 41, No. 8, p. 2444 - 2448

Mathematics

Logic

1

Cosmological Models: Bianchi Models

Scientific paper

It is proven that there do not exist any Bianchi type IX universes which expand for an infinite time, provided only that the matter satisfies the dominant energy condition and has non-negative average pressure (i.e., a non-negative trace of the spatial projection of the stress-energy tensor). This generalizes a proof recently given by the authors for the case of diagonal Bianchi type IX solutions.

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