Astronomy and Astrophysics – Astrophysics
Scientific paper
1996-08-28
Phys.Rev. D55 (1997) 3276-3287
Astronomy and Astrophysics
Astrophysics
21 pages, 8 eps figures
Scientific paper
10.1103/PhysRevD.55.3276
We study the stability of a contracting {\it silent universe}, which is a spacetime with irrotational dust and vanishing magnetic part of the Weyl tensor, $H_{ab}=0$. Two general relativistic backgrounds are analyzed; one is an attractor of {\it silent universes}, i.e., a locally Kasner spacetime, and the other is a particular class of inhomogeneous Szekeres solutions. In both cases their stabilities against perturbations with non-zero magnetic part depend on a contraction configuration; a spindle-like collapse is unstable, while a pancake-like collapse is still stable. We also find that a similar instability exists in spindle collapse for a Newtonian case. We conclude that $H_{ab}=0$ is not a generic ansatz even in general relativistic dust collapse.
Hirai Toshinari
Maeda Kei--ichi
Mutoh Hiraku
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