تقرير
Oscillations toward the singularity of LRS Bianchi type IX cosmological models with Vlasov matter
| العنوان: | Oscillations toward the singularity of LRS Bianchi type IX cosmological models with Vlasov matter |
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| المؤلفون: | Calogero, Simone, Heinzle, J. Mark |
| المصدر: | SIAM J. Appl. Dyn. Syst. 9, 1244-1262 (2010) |
| سنة النشر: | 2010 |
| المجموعة: | General Relativity and Quantum Cosmology |
| مصطلحات موضوعية: | General Relativity and Quantum Cosmology |
| الوصف: | We analyze the dynamics of a class of cosmological solutions of the Einstein-Vlasov equations. These equations describe an ensemble of collisionless particles (which represent galaxies or clusters of galaxies) that interact gravitatively through Einstein's equations of general relativity. The cosmological models we consider are spatially homogeneous, of Bianchi type IX, and locally rotationally symmetric (LRS). We prove that generic solutions exhibit an oscillatory approach toward the singularities (the "big bang" in the past and the "big crunch" in the future); this is in contrast to the behavior of Einstein-vacuum or Einstein-Euler solutions. To establish this result we make use of dynamical systems theory; we introduce dimensionless dynamical variables that are defined on a compact state space; in this formulation the oscillatory behavior of generic solutions is represented by an approach to heteroclinic cycles. Comment: 18 pages, 5 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1011.3982 |
| رقم الأكسشن: | edsarx.1011.3982 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |