中国科学院数学与系统科学研究院

数学研究所

学术报告

广义相对论研讨班

Speaker: Dawei Shen (Columbia University)

Title: Future null infinity in perturbations of Kerr

Time&Venue: 2024年12月5日（星期四） 10:30-11:30 腾讯会议: 621-426-387

Abstract:  Kerr stability for small angular momentum has been proved by Klainerman-Szeftel, Giorgi-Klainerman-Szeftel and Shen in a series of works. Some of the most basic conclusions, concerning various physical quantities on the future null infinity are derived therein. Further important conclusions were later derived by An-He-Shen and Chen-Klainerman. In this talk, I will present the existence and uniqueness of a canonical foliation on the future null infinity for which the energy, linear momentum, center of mass and angular momentum are well defined and satisfy the expected physical laws of gravitational radiation. The rigid character of this foliation eliminates the usual ambiguities related to these quantities in the physics literature. This is based on a joint work with Sergiu Klainerman and Jingbo Wan.