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arxiv: gr-qc/9611002 · v2 · submitted 1996-11-02 · 🌀 gr-qc · astro-ph

Integrability of irrotational silent cosmological models

classification 🌀 gr-qc astro-ph
keywords modelssilentthereconditionscosmologicalintegrabilityirrotationalawait
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We revisit the issue of integrability conditions for the irrotational silent cosmological models. We formulate the problem both in 1+3 covariant and 1+3 orthonormal frame notation, and show there exists a series of constraint equations that need to be satisfied. These conditions hold identically for FLRW-linearised silent models, but not in the general exact non-linear case. Thus there is a linearisation 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.

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