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

Zonglin Jia; Boling Guo

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arXiv · 1907.02655

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

Zonglin Jia·Boling Guo

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Abstract

We study the global existence of Einstein-Maxwell(EM) equations on $\mathbb{R}^4$. 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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Zonglin Jia, Boling Guo. 2019-07-05. Global existence of the solution to Einstein-Maxwell equations with small initial data. https://arxiv.org/abs/1907.02655

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