Construction of Initial Data Associated to the Characteristic Initial Value Problem for the Einstein-Yang-Mills-Higgs System

2012/03/12 by Calvin Tadmon, Tadmon, Calvin
Mathematics · Physics and Astronomy · #35L15 #35L70 #46E35 #46J10 #81T13 #83C10 #83C20 #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc)

paper · pdf · doi:10.48550/arxiv.1203.2423

openalex publication_date 2012/03/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We show how to assign initial data for the characteristic Einstein-Yang-Mills-Higgs system on two intersecting smooth null hypersurfaces. We successfully adapt the hierarchical method set up by A. D. Rendall to solve the same problem for the Einstein equations in vacuum and with perfect fluid source. Unlike the work of Rendall, many delicate calculations and expressions are given in details so as to address, in a forthcoming work, the issue of global resolution of the characteristic initial value problem for the Einstein-Yang-Mills-Higgs system. The method obviously applies to the Einstein-Maxwell and the Einstein-scalar field models.

Citations

• Classical General Relativity

Related

• Einstein-Yang-Mills equations in the double null framework
• Global existence of the solution to Einstein-Yang-Mills-Higgs equations with small initial datum
• Null Surfaces, Initial Values and Evolution Operators for Scalar Fields
• Characteristic initial value problems for the Einstein-Maxwell-scalar field equations in spherical symmetry
• Global characteristic problem for Einstein vacuum equations with small initial data: (I) The initial data constraints