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From bending of light to positive mass: a non-PDE perspective

发布日期:2021-03-30点击数:

报告人:吴小宁(中国科学院数学与系统科学研究院)

时间:2021年4月2日14:00开始

腾讯会议ID:896 589 055(无密码)


摘要:Penrose et al. investigated the physical incoherence of the spacetime with negative mass via the bending of light. Precise estimates of time-delay of null geodesics were needed and played a pivotal role in their proof. In this paper, we construct an intermediate diagonal metric and make a reduction of this problem to a causality comparison in the compactified spacetimes regarding timelike connectedness near the conformal infinities. This different approach allows us to avoid encountering the difficulties and subtle issues Penrose et al. met. It provides a new, substantially simple,and physically natural non-PDE viewpoint to understand the positive mass theorem.This elementary argument modestly applies to asymptotically flat solutions which are vacuum and stationary near infinity.


简介:吴小宁,中科院数学与系统科学研究院数学所研究员。主要研究方向为经典广义相对论、黑洞物理、引力规范全息对偶等。


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