THE PLANE SYMMETRIC EINSTEIN-DUST SYSTEM WITH POSITIVE COSMOLOGICAL CONSTANT

DOI10.1142/S0219891608001659zbMath1179.83019arXiv0709.3958MaRDI QIDQ5506460

Sophonie Blaise Tchapnda

Publication date: 28 January 2009

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.3958

zbMATH Keywords

existence of solutionsmooth solutionpositive cosmological constantEinstein-dust equations

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (4)

Future global nonlinear stability of surface symmetric solutions of the Einstein–Vlasov system with a cosmological constant ⋮ A de Sitter no-hair theorem for 3+1d cosmologies with isometry group forming 2-dimensional orbits ⋮ Proof of the cosmic no-hair conjecture in the \(\mathbb{T}^3\)-Gowdy symmetric Einstein-Vlasov setting ⋮ The global future stability of the FLRW solutions to the Dust-Einstein system with a positive cosmological constant

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• Cosmological spacetimes not covered by a constant mean curvature slicing
• Cosmological solutions of the Vlasov-Einstein system with spherical, plane, and hyperbolic symmetry

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