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Phys. Rev. D 41, 2444–2448 (1990)

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

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Xue-feng Lin* and Robert M. Wald
Enrico Fermi Institute and Department of Physics, University of Chicago, 5640 South Ellis Avenue, Chicago, Illinois 60637

Received 13 November 1989; published in the issue dated 15 April 1990

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.

© 1990 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.41.2444
DOI:
10.1103/PhysRevD.41.2444
PACS:

*Permanent address: Department of Physics, Ning Xia University, Yinchuan, P.R. China.