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

15 November 1989

journal article
research article
Published by American Physical Society (APS) in Physical Review D

Vol. 40 (10) , 3280-3286
https://doi.org/10.1103/physrevd.40.3280

Abstract

It is proven that there do not exist any diagonal Bianchi type-IX universes which expand for an infinite time, provided only that the matter satisfies the dominant energy condition and has nonnegative average principal pressures.

Keywords

SPACE TIME
LIE GROUPS
MINKOWSKI SPACE
EIGENVECTORS
SATISFIABILITY
UNIVERSE
MATHEMATICAL SPACE
MATHEMATICAL MODELS
SPACE
RICCI TENSOR
SYMMETRY GROUPS

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General Relativity
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Dynamics of SO(3, R)-homogeneous cosmologies
Annals of Physics, 1970