Constant-mean-curvature slicing of the Schwarzschild-de Sitter space-time

Abstract
We investigate how the constant-mean-curvature hypersurfaces foliate Schwarzschild-de Sitter space-time in the Kruskal diagram. In contrast with those in asymptotic flat spherically symmetric space-time, there are two kinds of limit radii on which the spacelike hypersurfaces cease from their time evolution.