Abstract
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 language | English |
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| Pages (from-to) | 1151-1162 |
| Journal | Classical and Quantum Gravity |
| Volume | 14 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - May 1997 |