On the Area of the Symmetry Orbits in Weakly Regular Einstein--Euler Spacetimes with Gowdy Symmetry

DOI10.1137/130950641zbMath1320.83022arXiv1411.3269OpenAlexW2962893154MaRDI QIDQ5264964

Philippe G. LeFloch, Nastasia Grubic

Publication date: 21 July 2015

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.3269

zbMATH Keywords

global geometrycosmological spacetimeGowdy symmetryareal foliationEinstein-Euler spacetime

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Shock waves and blast waves in fluid mechanics (76L05) Hyperbolic conservation laws (35L65) Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Gravitational waves (83C35)

Related Items (5)

Weakly regular \(T^2\)-symmetric spacetimes. The future causal geometry of Gowdy spacetimes ⋮ On the global evolution of self-gravitating matter. Nonlinear interactions in Gowdy symmetry ⋮ Weakly regular fluid flows with bounded variation on the domain of outer communication of a Schwarzschild black hole spacetime. II ⋮ Weakly regular \(T^2\)-symmetric spacetimes. The global geometry of future Cauchy developments ⋮ The positive mass theorem for manifolds with distributional curvature

Cites Work

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