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

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.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-4B9C-6 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-4B9D-4
Genre: Journal Article

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 Creators:
Heinzle, J. Mark1, Author
Uggla, Claes, Author
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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 Abstract: 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.

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Language(s): eng - English
 Dates: 2006
 Publication Status: Published in print
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 Identifiers: eDoc: 249127
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Title: Classical and Quantum Gravity
Source Genre: Journal
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Pages: - Volume / Issue: 23 (10) Sequence Number: - Start / End Page: 3463 - 3489 Identifier: -