The Characteristic Initial Value Problem for the Einstein-Yang-Mills-Higgs System in Weighted Sobolev Spaces

DOI10.1093/amrx/abq014zbMath1205.35162OpenAlexW2329338488MaRDI QIDQ4933268

Calvin Tadmon, Marcel Dossa

Publication date: 12 October 2010

Published in: Applied Mathematics Research eXpress (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/amrx/abq014

zbMATH Keywords

uniquenessweighted Sobolev spacesinitial value problemgravitational potentialLorentz gaugecharacteristicshyperbolic PDEharmonic gaugeMoser estimatesYang-Mills potentialEinstein-Yang-Mills-Higgs (EYMH) system

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Higher-order hyperbolic systems (35L55) Second-order hyperbolic systems (35L51) Initial value problems for second-order hyperbolic systems (35L52) Initial value problems for higher-order hyperbolic systems (35L56)

Related Items (6)

On the characteristic initial value problem for the spherically symmetric Einstein-Euler equations ⋮ The Goursat problem for the Einstein-Vlasov system. II: The evolution of initial data ⋮ Global solutions, and their decay properties, of the spherically symmetric \(\mathfrak {su}(2)\)-Einstein-Yang-Mills-Higgs equations ⋮ On the constraints problem for the Einstein-Yang-Mills-Higgs system ⋮ On the evolution problem for the Einstein-Vlasov system ⋮ Wave equations with initial data on compact Cauchy horizons

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