Causality Comparison and Positive Mass
Time: 2021-05-12
Published By: He Liu
Speaker(s): Xiaoning Wu (University of Chinese Academy of Sciences)
Time: 10:00-11:00 May 18, 2021
Venue: Room 29, Quan Zhai, BICMR
This talk is based on our recent work (arXiv : 2021.02081). 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.