Global regularity for Einstein-Klein-Gordon system with \(U(1)\times\mathbb{R}\) isometry group. I

DOI10.1007/s11401-020-0240-7zbMath1462.35387OpenAlexW3100890577MaRDI QIDQ1997198

Yi Zhou, Haoyang Chen

Publication date: 1 March 2021

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-020-0240-7

zbMATH Keywords

energy estimatesCauchy problemfirst singularityEinstein-Klein Gordon systemnull coordinate

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Second-order nonlinear hyperbolic equations (35L70) Einstein equations (35Q76)

Cites Work

• The global nonlinear stability of Minkowski space for self-gravitating massive fields. The wave-Klein-Gordon model
• The global stability of Minkowski space-time in harmonic gauge
• Reduction of Einstein's equations for vacuum space-times with spacelike U(1) isometry groups
• The problem of a self-gravitating scalar field
• On ``asymptotically flat space-times with \(G_2\)-invariant Cauchy surfaces
• Radially symmetric wave maps from \((1+2)\)-dimensional Minkowski space to general targets
• Radially symmetric wave maps from \((1+2)\)-dimensional Minkowski space to the sphere
• Stability in exponential time of Minkowski space-time with a translation space-like Killing field
• Global regularity for the 2+1 dimensional equivariant Einstein-wave map system
• Solutions to the Einstein-scalar-field system in spherical symmetry with large bounded variation norms
• Stability of Minkowski space-time with a translation space-like Killing field
• Global existence for the Einstein vacuum equations in wave coordinates
• A mathematical theory of gravitational collapse
• The evolution problem in general relativity
• An intrinsic hyperboloid approach for Einstein Klein-Gordon equations
• On the global regularity for a Wave-Klein-Gordon coupled system
• On scattering for small data of \(2 + 1\)-dimensional equivariant Einstein-wave map system
• Global aspects of the Cauchy problem in general relativity
• Constraint equations for 3 + 1 vacuum Einstein equations with a translational space-like Killing field in the asymptotically flat case II
• An Introduction to the Theory of Wave Maps and Related Geometric Problems
• On the regularity of spherically symmetric wave maps
• Regularity of harmonic maps from the Minkowski space into rotationally symmetric manifolds
• Bounded variation solutions of the spherically symmetric einstein‐scalar field equations
• On the cauchy problem for equivariant wave maps
• Equivariant wave maps in two space dimensions
• Future global in time Einsteinian spacetimes with \(U(1)\) isometry group
• Constraint equations for \(3 + 1\) vacuum Einstein equations with a translational space-like Killing field in the asymptotically flat case
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Global regularity for Einstein-Klein-Gordon system with \(U(1)\times\mathbb{R}\) isometry group. I