Dynamics of the spatially homogeneous Bianchi type I Einstein-Vlasov equations

Heinzle, J. Mark; Uggla, Claes

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Dynamics of the spatially homogeneous Bianchi type I Einstein-Vlasov equations

MPS-Authors

Heinzle, J. Mark
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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0512031[1].pdf
(プレプリント), 314KB

cqg6_10_016.pdf
(出版社版), 324KB

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引用

Heinzle, J. M., & Uggla, C. (2006). Dynamics of the spatially homogeneous Bianchi type I Einstein-Vlasov equations. Classical and Quantum Gravity, 23(10), 3463-3489.

引用: https://hdl.handle.net/11858/00-001M-0000-0013-4B9C-6

要旨

We investigate the dynamics of spatially homogeneous solutions of the Einstein-Vlasov equations with Bianchi type I symmetry by using dynamical systems methods. All models are forever expanding and isotropize toward the future; toward the past there exists a singularity. We identify and describe all possible past asymptotic states; in particular, on the past attractor set we establish the existence of a heteroclinic network, which is a new type of feature in general relativity. This illustrates among other things that Vlasov matter can lead to quite different dynamics of cosmological models as compared to perfect fluids.