Global existence of the solution to Einstein-Yang-Mills-Higgs equations with small initial datum

2019/09/03 by Zonglin Jia, Boling Guo, Jia, Zonglin +1
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · pdf · doi:10.48550/arxiv.1909.01876

openalex publication_date 2019/09/03 · openalex created_date 2019/09/12 · openalex updated_date 2026/07/28

Abstract

The problem involved in this paper is the global existence of the solution to the \mathfraksu(2)-Einstein-Yang-Mills-Higgs(EYMH) equation. The approach we employ stems from H. Lindblad and I. Rodnianski and is dependent of wave coordinates and Lorentzian gauge conditions. Our main conclusion is that the EYMH system admits global existence provided the initial datum are sufficiently small. To the best of our knowledge, there is no similar result in the area of EYMH equations.

Citations

• On global behavior of solutions of the Maxwell-Klein-Gordon equations

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