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

Physics – High Energy Physics – High Energy Physics - Theory

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5 pages, some comment added

Scientific paper

10.1103/PhysRevD.64.107301

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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