Weakly regular Einstein-Euler spacetimes with Gowdy symmetry: the global areal foliation

DOI10.1007/s00205-012-0597-1zbMath1266.83027arXiv1212.1301OpenAlexW1974011121MaRDI QIDQ1949321

Nastasia Grubic, Philippe G. LeFloch

Publication date: 7 May 2013

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.1301

zbMATH Keywords

weak regularityspacelike hypersurfacesEinstein-Euler spacetimesGowdy-symmetric spacetimes

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) PDEs in connection with relativity and gravitational theory (35Q75) Exact solutions to problems in general relativity and gravitational theory (83C15) Approximation procedures, weak fields in general relativity and gravitational theory (83C25) Stability and instability of geophysical and astrophysical flows (76E20)

Related Items (7)

Weakly regular fluid flows with bounded variation on the domain of outer communication of a Schwarzschild black hole spacetime ⋮ Weakly regular \(T^2\)-symmetric spacetimes. The future causal geometry of Gowdy spacetimes ⋮ Global existence for a one-dimensional non-relativistic Euler model with relaxation ⋮ The formation of trapped surfaces in spherically-symmetric Einstein-Euler spacetimes with bounded variation ⋮ On the global evolution of self-gravitating matter. Nonlinear interactions in Gowdy symmetry ⋮ On the Area of the Symmetry Orbits in Weakly Regular Einstein--Euler Spacetimes with Gowdy Symmetry ⋮ Weakly regular \(T^2\)-symmetric spacetimes. The global geometry of future Cauchy developments

Cites Work

• Unnamed Item
• Unnamed Item
• A global foliation of Einstein-Euler spacetimes with Gowdy-symmetry on \(T ^{3}\)
• Asymptotic behaviour of the gravitational field and the nature of singularities in Gowdy spacetimes
• Strong cosmic censorship in \(T^3\)-Gowdy spacetimes
• Strong cosmic censorship for \(T ^{2}\)-symmetric spacetimes with cosmological constant and matter
• Vacuum spacetimes with two-parameter spacelike isometry groups and compact invariant hypersurfaces: Topologies and boundary conditions
• Global solutions of the relativistic Euler equations
• Global foliations of matter spacetimes with Gowdy symmetry
• Shock waves and gravitational waves in matter spacetimes with Gowdy symmetry
• Weakly regular \(T^2\)-symmetric spacetimes. The global geometry of future Cauchy developments
• Definition and stability of Lorentzian manifolds with distributional curvature
• Strong Cosmic Censorship for Surface-Symmetric Cosmological Spacetimes with Collisionless Matter
• Hyperbolic Conservation Laws on Spacetimes
• The characteristic initial value problem for plane symmetric spacetimes with weak regularity
• Shock Waves in Plane Symmetric Spacetimes
• The special relativistic shock tube
• Bounded variation solutions of the spherically symmetric einstein‐scalar field equations
• On the area of the symmetry orbits in T ² symmetric spacetimes
• Shock-wave solutions of the Einstein equations with perfect fluid sources: existence and consistency by a locally inertial Glimm scheme
• The Glimm scheme for perfect fluids on plane-symmetric Gowdy spacetimes
• Crushing singularities in spacetimes with spherical, plane and hyperbolic symmetry
• CURVATURE BLOW UP ON A DENSE SUBSET OF THE SINGULARITY IN T³-GOWDY
• Dynamical Systems in Cosmology
• Solutions in the large for nonlinear hyperbolic systems of equations
• Hyperbolic Conservation Laws in Continuum Physics

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