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Causality Comparison and Postive Mass

October 8, 2021 @ 9:30 am - 10:30 am

Speaker: Xiaoning Wu, Chinese Academy of Sciences

Title: Causality Comparison and Postive Mass

Abstract: Penrose et al. investigated the physical incoherence of the space-time with negative mass via the bending of light. Precise estimates of the 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 reduce this problem to a causality comparison in the compactified space-time regarding time-like connectedness near conformal infinities. This different approach allows us to avoid encountering the difficulties and subtle issues that Penrose et al. met. It provides a new, substantially simple, and physically natural non-partial differential equation viewpoint to understand the positive mass theorem. This elementary argument modestly applies to asymptotically flat solutions that are vacuum and stationary near infinity


October 8, 2021
9:30 am - 10:30 am
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