Cosmic no-hair theorem in homogeneous spacetimes. I. Bianchi models

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Abstract
Extending the proof of the cosmic no-hair theorem for Bianchi models in power-law inflation, the authors prove a more general cosmic no-hair theorem for all 0eff to the maximum 3-curvature (3)Rmax is larger than 1/(3(1- lambda 2/2)) and its time derivative is initially positive. It turns out that the sufficient condition for inflation in Bianchi type=IX spacetimes with cosmological constant Lambda , which is a special case of the theorem ( lambda =0) become less restrictive than Wald's one (1984). For type IX, they also show a recollapse theorem.

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