Integrability of irrotational silent cosmological models

Henk Van Elst*, Claes Uggla, William M. Lesame, George F R Ellis, Roy Maartens

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We revisit the issue of integrability conditions for the irrolational silent cosmological models. We formulate the problem both in 1 + 3 covariant and 1 + 3 orthonormal frame notation and show that there exists a series of constraint equations that need to be satisfied. These conditions hold identically for FLRW-linearized silent models, but not in the general exact nonlinear case. Thus there is a linearization instability and it is highly unlikely that there is a large class of silent models We conjecture that there are no spatially inhomogeneous solutions with Weyl curvature of Petrov type I and indicate further issues that await clarification.

Original languageEnglish
Pages (from-to)1151-1162
JournalClassical and Quantum Gravity
Issue number5
Publication statusPublished - May 1997


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