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Perturbations of generic Kasner spacetimes and their stability

Abstract : 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.
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Submitted on : Tuesday, April 19, 2022 - 4:25:50 PM
Last modification on : Wednesday, April 20, 2022 - 3:40:09 AM

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Lev Kofman, Jean-Philippe Uzan, Cyril Pitrou. Perturbations of generic Kasner spacetimes and their stability. JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS, 2011, 2011, ⟨10.1088/1475-7516/2011/05/011⟩. ⟨insu-03645987⟩

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