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A solution to the problem posed by Byland and Scialom

M. Yu. Zotov
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Abstract

Recently, Byland and Scialom studied the evolution of the Bianchi I, the Bianchi III and the Kantowski-Sachs universe on the basis of dynamical systems methods (Phys. Rev. D57, 6065 (1998), gr-qc/9802043). In particular, they have pointed out a problem to determine the stability properties of one of the degenerate critical points of the corresponding dynamical system. Here we give a solution, showing that this point is unstable both to the past and to the future. We also discuss the asymptotic behavior of the trajectories in the vicinity of another critical point.

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M. Yu. Zotov. 2000-09-15. A solution to the problem posed by Byland and Scialom. https://arxiv.org/abs/gr-qc/9908052

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