Spacelike spherically symmetric CMC hypersurfaces in Schwarzschild   spacetimes (I): Construction
  We solve spacelike spherically symmetric constant mean curvature (SS-CMC) hypersurfaces in Schwarzschild spacetimes and analyze their asymptotic behavior near the coordinate singularity r = 2M. Furthermore, we join SS-CMC hypersurfaces in the Kruskal extension to obtain complete ones and discuss the smooth properties. 
Kuo-Wei Lee and Yng-Ing Lee
math.DG gr-qc math-ph math.MP