Perturbations of generic Kasner spacetimes and their stability

This article investigates the stability of a generic Kasner spacetime to linear perturbations, both at late and early times. It demonstrates that the perturbation of the Weyl tensor diverges at late time in all cases but in the particular one in which the Kasner spacetime is the product of a two-dim...

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Bibliographic Details
Published inJournal of cosmology and astroparticle physics Vol. 2011; no. 5; p. 011
Main Authors Kofman, Lev, Uzan, Jean-Philippe, Pitrou, Cyril
Format Journal Article
LanguageEnglish
Published United States IOP Publishing 01.05.2011
Subjects
ASTROPHYSICS
ASTROPHYSICS, COSMOLOGY AND ASTRONOMY
COSMOLOGY
DISTURBANCES
EUCLIDEAN SPACE
SPACE-TIME
TENSORS
TWO-DIMENSIONAL CALCULATIONS
WEYL UNIFIED THEORY
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Summary:This article investigates the stability of a generic Kasner spacetime to linear perturbations, both at late and early times. It demonstrates that the perturbation of the Weyl tensor diverges at late time in all cases but in the particular one in which the Kasner spacetime is the product of a two-dimensional Milne spacetime and a two-dimensional Euclidean space. At early times, the perturbation of the Weyl tensor also diverges unless one imposes a condition on the perturbations so as to avoid the most divergent modes to be excited.
ISSN:1475-7516
1475-7516
DOI:10.1088/1475-7516/2011/05/011