4 papers · 1 filter
Existence of static vacuum extensions for Bartnik boundary data near Schwarzschild spheres
Spyros Alexakis, Zhongshan An, Ahmed Ellithy +1
We obtain existence and local uniqueness of asymptotically flat, static vacuum extensions for Bartnik data on a sphere near the data of a sphere of symmetry in a Schwarzschild mani…
On mass-minimizing extensions of Bartnik boundary data
Zhongshan An
We prove that the space of initial data sets which have fixed Bartnik boundary data and solve the constraint equations is a Banach manifold. Moreover, on this constraint manifold t…
Ellipticity of Bartnik boundary data for stationary vacuum spacetimes
Zhongshan An
We establish a moduli space of stationary vacuum metrics in a spacetime, and set up a well-defined boundary map in , assigning a metric class with its Ba…
Elliptic boundary value problems for the stationary vacuum spacetimes
Zhongshan An
We develop a general method of proving the ellipticity of boundary value problems for the stationary vacuum space time, by showing that the stationary vacuum field equations are el…