scholarly journals The Weyl tensor in spatially homogeneous cosmological models

2002 ◽  
Vol 19 (20) ◽  
pp. 5173-5193 ◽  
Author(s):  
John D Barrow ◽  
Sigbj rn Hervik
1995 ◽  
Vol 118 (3) ◽  
pp. 511-526 ◽  
Author(s):  
Alan D. Rendall

AbstractThe existence and nature of singularities in locally spatially homogeneous solutions of the Einstein equations coupled to various phenoraenological matter models is investigated. It is shown that, under certain reasonable assumptions on the matter, there are no singularities in an expanding phase of the evolution and that unless the spacetime is empty a contracting phase always ends in a singularity where at least one scalar invariant of the curvature diverges uniformly. The class of matter models treated includes perfect fluids, mixtures of non-interacting perfect fluids and collisionless matter.


2003 ◽  
Vol 20 (23) ◽  
pp. 5141-5159 ◽  
Author(s):  
Sophie de Buyl ◽  
Gaïa Pinardi ◽  
Christiane Schomblond

1984 ◽  
Vol 16 (3) ◽  
pp. 217-224 ◽  
Author(s):  
A. K. Banerjee ◽  
N. O. Santos

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