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

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

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 s...

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Veröffentlicht in:arXiv.org 2019-09
Hauptverfasser: Jia, Zonglin, Boling Guo
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Sprache:eng
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Braking systems
Euclidean geometry
Euclidean space
Gauges
Mathematical analysis
Maxwell's equations
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Boling Guo
description 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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subjects Braking systems
Euclidean geometry
Euclidean space
Gauges
Mathematical analysis
Maxwell's equations
title Global existence of the solution to Einstein-Maxwell equations with small initial data
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