Global existence of the solution to Einstein-Maxwell equations with small initial data
Analysis of PDEs
2019-09-09 v4 Mathematical Physics
math.MP
Abstract
We study the global existence of Einstein-Maxwell(EM) equations on . We use the method, which relies on wave and Lorentzian gauge conditions, to obtain some exquisite estimates. Our main conclusion is that if the initial data is small enough, then the EM system has a global in time solution.
Keywords
Cite
@article{arxiv.1907.02655,
title = {Global existence of the solution to Einstein-Maxwell equations with small initial data},
author = {Zonglin Jia and Boling Guo},
journal= {arXiv preprint arXiv:1907.02655},
year = {2019}
}