报告主题:Singular harmonic maps and the mass-angular momentum inequality
报告人:Prof. Han Qing (University of Notre Dame)
报告摘要: Motivated by studies of axially symmetric stationary solutions of the Einstein vacuum equations in general relativity, we study singular harmonic maps from domains of the 3-dimensional Euclidean space to the hyperbolic plane, with bounded hyperbolic distance to extreme Kerr harmonic maps. We prove that every such harmonic map has a unique tangent map at the black hole horizon. As an application, we establish an explicit and optimal lower bound for the ADM mass in terms of the total angular momentum, in asymptotically flat, axially symmetric, and maximal initial data sets for the Einstein equations with multiple black holes.
报告时间:2022/04/07 09:30-10:30 (GMT+08:00) 中国标准时间 - 北京
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