Existence of constant mean curvature foliation in the extended   Schwarzschild spacetime
  We construct a $T$-axisymmetric, spacelike, spherically symmetric, constant mean curvature hypersurfaces foliation in the Kruskal extension with properties that the mean curvature varies in each slice and ranges from minus infinity to plus infinity. This family of hypersurfaces extends the CMC foliation discussions posted by Malec and \'{O} Murchadha in 2009. 
Kuo-Wei Lee
math.DG gr-qc math-ph math.MP