The plane symmetric Einstein-dust system with positive cosmological constant

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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12 pages

Scientific paper

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.

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