English

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

Mathematical Physics 2019-09-05 v1 math.MP

Abstract

The problem involved in this paper is the global existence of the solution to the su(2)\mathfrak{su}(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.

Keywords

Cite

@article{arxiv.1909.01876,
  title  = {Global existence of the solution to Einstein-Yang-Mills-Higgs equations with small initial datum},
  author = {Zonglin Jia and Boling Guo},
  journal= {arXiv preprint arXiv:1909.01876},
  year   = {2019}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1907.02655