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Integrability of irrotational silent cosmological models
Astronomy Unit, Queen Mary and Westfield College, University of London.
Luleå tekniska universitet.
Department of Applied Mathematics, University of Fort Hare.
Department of Applied Mathematics, University of Cape Town.
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1997 (Swedish)In: Classical and quantum gravity, ISSN 0264-9381, E-ISSN 1361-6382, Vol. 14, no 5, p. 1151-1162Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
1997. Vol. 14, no 5, p. 1151-1162
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Fysik
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URN: urn:nbn:se:ltu:diva-14814DOI: 10.1088/0264-9381/14/5/018Scopus ID: 2-s2.0-0031490917Local ID: e3c19ce0-0241-11de-a8bd-000ea68e967bOAI: oai:DiVA.org:ltu-14814DiVA, id: diva2:987787
Note

Godkänd; 1997; 20090224 (andbra)

Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2018-07-10Bibliographically approved

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