20170510Brown-York mass and vacuum static space-time
Abstract: In 1950s, Arnowit, Deser and Misner gave the Hamiltonian formalism of Einstein equations and proposed the well known positive mass conjecture. It was solved by Schoen-Yau and Witten using different technics almost 30 years later. After their works, the study in this area turned to localization of ADM mass gradually. In this talk, I will give a brief introduction of the study of mass problem and vacuum static space-time. Also, I will talk about the idea of the proof of positive mass theorem for Brown-York mass with respect to generic three dimensional vacuum static metric under certain physical assumptions.