A solution to the problem posed by Byland and Scialom

Details A solution to the problem posed by Byland and Scialom A solution to the problem posed by Byland and Scialom

1999-08-19

arxiv.org/abs/gr-qc/9908052v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

REVTeX, 2 pages; v2: the title changed to avoid ambiguity -- thanks to Brad Woodworth

Scientific paper

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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