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..41.2444l&link_type=abstract

Physical Review D (Particles and Fields), Volume 41, Issue 8, 15 April 1990, pp.2444-2448

Physics

32

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 us for the case of diagonal Bianchi type-IX solutions.

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