A solution to the problem posed by Byland and Scialom
General Relativity and Quantum Cosmology
2007-05-23 v2
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.
Keywords
Cite
@article{arxiv.gr-qc/9908052,
title = {A solution to the problem posed by Byland and Scialom},
author = {M. Yu. Zotov},
journal= {arXiv preprint arXiv:gr-qc/9908052},
year = {2007}
}
Comments
REVTeX, 2 pages; v2: the title changed to avoid ambiguity -- thanks to Brad Woodworth