Perturbations of generic Kasner spacetimes and their stability

Details Perturbations of generic Kasner spacetimes and their stability Perturbations of generic Kasner spacetimes and their stability

2011-02-15

arxiv.org/abs/1102.3071v2

JCAP 1105:011,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages, 6 figures

Scientific paper

10.1088/1475-7516/2011/05/011

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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