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arXiv · hep-th/0104166

Bianchi type I space and the stability of inflationary Friedmann-Robertson-Walker space

W. F. Kao
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Abstract

Stability analysis of the Bianchi type I universe in pure gravity theory is studied in details. We first derive the non-redundant field equation of the system by introducing the generalized Bianchi type I metric. This non-redundant equation reduces to the Friedmann equation in the isotropic limit. It is shown further that any unstable mode of the isotropic perturbation with respect to a de Sitter background is also unstable with respect to anisotropic perturbations. Implications to the choice of physical theories are discussed in details in this paper.

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W. F. Kao. 2001-07-09. Bianchi type I space and the stability of inflationary Friedmann-Robertson-Walker space. https://doi.org/10.1103/physrevd.64.107301

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