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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 journal › Article › peer-review

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 languageEnglish
Pages (from-to)1151-1162
JournalClassical and Quantum Gravity
Volume14
Issue number5
DOIs
Publication statusPublished - May 1997

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