On the geometry of null cones in Einstein-vacuum spacetimes

DOI10.1016/j.anihpc.2008.03.002zbMath1157.83309OpenAlexW2061315892MaRDI QIDQ1001988

Qian Wang

Publication date: 20 February 2009

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/78841

Mathematics Subject Classification ID

Geometrodynamics and the holographic principle (83E05) Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Relationships between surfaces, higher-dimensional varieties, and physics (14J81)

Related Items (14)

Bounds on the Bondi energy by a flux of curvature ⋮ A geometric approach for sharp local well-posedness of quasilinear wave equations ⋮ Causal geometry of rough Einstein CMCSH spacetime ⋮ The Feynman problem for the Klein-Gordon equation ⋮ The canonical foliation on null hypersurfaces in low regularity ⋮ On Ricci coefficients of null hypersurfaces with time foliation in Einstein vacuum space-time. I ⋮ A generalized representation formula for systems of tensor wave equations ⋮ Rough solutions of Einstein vacuum equations in CMCSH gauge ⋮ On breakdown criteria for nonvacuum Einstein equations ⋮ New tensorial estimates in Besov spaces for time-dependent (2 + 1)-dimensional problems ⋮ Totally umbilic null hypersurfaces in generalized Robertson-Walker spaces ⋮ Space Cauchy problem with curvature \(L^2\) in general relativity ⋮ Improved breakdown criterion for einstein vacuum equations in CMC gauge ⋮ Rough solutions of the 3-D compressible Euler equations

Cites Work

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• Rough solutions of the Einstein-vacuum equations
• The causal structure of microlocalized rough Einstein metrics
• Improved local well-posedness for quasilinear wave equations in dimension three
• Causal geometry of Einstein-vacuum spacetimes with finite curvature flux
• The evolution problem in general relativity
• A geometric approach to the Littlewood-Paley theory
• Sharp trace theorems for null hypersurfaces on Einstein metrics with finite curvature flux
• Théorème d'existence pour certains systèmes d'équations aux dérivées partielles non linéaires
• A KIRCHOFF–SOBOLEV PARAMETRIX FOR THE WAVE EQUATION AND APPLICATIONS
• On the radius of injectivity of null hypersurfaces
• Space‐time estimates for null forms and the local existence theorem
• BILINEAR ESTIMATES ON CURVED SPACE–TIMES
• Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)
• The Large Scale Structure of Space-Time
• General Relativity

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