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Journal Article

The plane symmetric Einstein-dust system with positive cosmological constant

MPS-Authors

Tchapnda,  S. B.
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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0709.3958.pdf
(Preprint), 159KB

Tchapnda.pdf
(Any fulltext), 181KB

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Citation

Tchapnda, S. B. (2008). The plane symmetric Einstein-dust system with positive cosmological constant. Journal of Hyperbolic Differential Equations, 5(3), 681-692.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-13D4-7
Abstract
The Einstein equations with a positive cosmological constant are coupled to the pressureless perfect fluid matter in plane symmetry. Under suitable restrictions on the initial data, the resulting Einstein-dust system is proved to have a global classical solution in the future time direction. Some late time asymptotic properties are obtained as well.