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- W2945572904 abstract "This paper is devoted to the study of the global existence of smooth solutions for the 3+1 dimensional Einstein-Klein-Gordon systems with a $U(1) times mathbb{R}$ isometry group for a class of regular Cauchy data. In our first paper cite{chen}, we reduce the Einstein equations to a 2+1 dimensional Einstein-wave-Klein-Gordon system. And we show that the first possible singularity can only occur at the axis. In this paper, we give a proof for the global regularity for the 2+1 dimensional system. Firstly, we show the non-concentration of the energy near the first possible singularity. Then, we prove that the global regularity holds for initial data with small energy." @default.
- W2945572904 created "2019-05-29" @default.
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- W2945572904 date "2019-05-22" @default.
- W2945572904 modified "2023-09-27" @default.
- W2945572904 title "Global regularity for Einstein-Klein-Gordon system with $U(1) times mathbb{R}$ isometry group, II" @default.
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