APS » PROLA » Phys. Rev. D » Volume 41 » Issue 8

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

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/abstract/PRD/v41/p2444
DOI: 10.1103/PhysRevD.41.2444

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

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