Speaker: Prof.Yi Zhou（Fudan University）

Title: GLOBAL REGULARITY FOR EINSTEIN-KLEIN-GORDON SYSTEM WITH U(1)×R ISOMETRY GROUP

Time: Thur, Sept.5 2019,PM:16:00-17:30

Location: Room 4318, Building No.4, Wushan Campus

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)×R isometry group for a class of regular Cauchy data.we first 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. Then, we give a proof for the global regularity for the 2+1 dimensional system by Firstly showing the non-concentration of the energy near the first possible singularity and proceed by a proof that the global regularity holds for initial data with small energy.