Global solutions, and their decay properties, of the spherically symmetric \(\mathfrak {su}(2)\)-Einstein-Yang-Mills-Higgs equations

DOI10.1016/j.crma.2011.09.004zbMath1232.35168OpenAlexW2089182873MaRDI QIDQ643618

Calvin Tadmon

Publication date: 2 November 2011

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2011.09.004

zbMATH Keywords

contraction method\({\mathfrak s}{\mathfrak u}(2)\)-Einstein-Yang-Mills-Higgs equationspherically symmetric field

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) PDEs in connection with quantum mechanics (35Q40) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) PDEs in connection with relativity and gravitational theory (35Q75)

Related Items (2)

On the characteristic initial value problem for the spherically symmetric Einstein-Euler equations ⋮ On global well-posedness for the Einstein-Maxwell-Euler system in Bondi coordinates

Cites Work

• Republication of: Conformal treatment of infinity
• The Goursat problem for the Einstein-Yang-Mills-Higgs system in weighted Sobolev spaces
• The problem of a self-gravitating scalar field
• Global existence of solutions to the coupled Einstein and Maxwell-Higgs system in the spherical symmetry
• Global existence of spherically symmetric solutions to the coupled Einstein and nonlinear Klein-Gordon system
• Yang-Mills-Higgs fields in three space time dimensions
• The Characteristic Initial Value Problem for the Einstein-Yang-Mills-Higgs System in Weighted Sobolev Spaces

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