SOLUTIONS OF QUASI-LINEAR WAVE EQUATIONS POLYHOMOGENEOUS AT NULL INFINITY IN HIGH DIMENSIONS

DOI10.1142/S0219891611002445zbMath1222.83023arXiv1010.2387MaRDI QIDQ3087086

Roger Tagne Wafo, Piotr T. Chrusciel

Publication date: 2 August 2011

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

Full work available at URL: https://arxiv.org/abs/1010.2387

zbMATH Keywords

polyhomogeneous Scriglobal solution of the vacuum Einstein equationsradiating fields

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order nonlinear hyperbolic equations (35L70) Wave equation (35L05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Gravitational energy and conservation laws; groups of motions (83C40) Asymptotic procedures (radiation, news functions, (mathcal{H} )-spaces, etc.) in general relativity and gravitational theory (83C30) Exact solutions to problems in general relativity and gravitational theory (83C15) Einstein-Maxwell equations (83C22)

Related Items (6)

General null asymptotics and superrotation-compatible configuration spaces in \( d \geq 4 \) ⋮ Stability of Minkowski space and polyhomogeneity of the metric ⋮ Characteristic approach to the soliton resolution ⋮ On the evolution problem for the Einstein-Vlasov system ⋮ On the asymptotic behavior of solutions to the Einstein vacuum equations in wave coordinates ⋮ Solutions with a uniform time of existence of a class of characteristic semi-linear wave equations near S+

Cites Work

• The global stability of Minkowski space-time in harmonic gauge
• Black holes in higher dimensional space-times
• Global existence for the Einstein vacuum equations in wave coordinates
• Asymptotically simple solutions of the vacuum Einstein equations in even dimensions
• A poor man's positive energy theorem: II. Null geodesics
• Asymptotic estimates in Weighted Hölder spaces for a class of elliptic scale-covariant second order operators
• The asymptotics of stationary electro-vacuum metrics in odd spacetime dimensions
• The multipole structure of stationary space-times
• The mass of an asymptotically flat manifold
• Existence of non-trivial, vacuum, asymptotically simple spacetimes
• Gravitational waves in general relativity XIV. Bondi expansions and the ‘polyhomogeneity’ of ℐ
• POLYHOMOGENEOUS SOLUTIONS OF NONLINEAR WAVE EQUATIONS WITHOUT CORNER CONDITIONS
• Scalar curvature deformation and a gluing construction for the Einstein constraint equations

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