Solutions of Jang’s Equation Inside Black Holes

CMSA GENERAL RELATIVITY SEMINAR

Speaker:

Yuewen Chen - Harvard University, CMSA

Jang’s equation is a degenerate elliptic differential equation which plays an important role in the positive mass theorem. In this talk, we describe a high order WENO (Weighted Essentially Non-Oscillatory) scheme for the Jang’s equation. Some special solutions will be shown, such as those possessing spherical symmetry and axial symmetry.