Global regularity for Einstein-Klein-Gordon system with $U(1) \times \mathbb{R}$ isometry group
Date/Time:18 Sep 2019 16:00Venue: S16 #03-09Speaker: Chen Haoyang, Fudan UniversityGlobal regularity for Einstein-Klein-Gordon system with $U(1) \times \mathbb{R}$ isometry groupIn this paper we prove the global regularity of the 3+1 dimensional Einstein-Klein-Gordon system with a $U(1)\times \mathbb{R}$ isometry group. We reduce the Cauchy problem of the Einstein-Klein-Gordon system to a 2+1 dimensional system. We prove that the energy of this system cannot concentrate near the first possible singularity, and hence is small. Then, we show that the global regularity holds for the reduced 2+1 dimensional system with initial data of small energy.Add to calendar:
