Integrability of irrotational silent cosmological models

Details Integrability of irrotational silent cosmological models Integrability of irrotational silent cosmological models

1996-11-02

arxiv.org/abs/gr-qc/9611002v2

Class.Quant.Grav. 14 (1997) 1151-1162

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Minor corrections and improvements; 1 new reference; to appear Class. Quantum Grav.; 16 pages Ioplppt

Scientific paper

10.1088/0264-9381/14/5/018

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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