Global existence of the solution to Einstein-Maxwell equations with small initial data

2019/07/05 by Jia, Zonglin, Guo, Boling
#Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1907.02655

Abstract

We study the global existence of Einstein-Maxwell(EM) equations on ℝ⁴. 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.

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