Constant Mean Curvature Slices for the Schwarzschild-anti-de Sitter Spacetime
摘要
In this paper, slicing of the Schwarzschild-anti-de Sitter metric is discussed by spacelike hypersurfaces of constant mean curvature. For this purpose, the differential equation, satisfied by these hypersurfaces, in compactified Kruskal-Szekeres like coordinates is obtained, and solved numerically. Behavior of these hypersurfaces with respect to different parameters involved, is also discussed.