Spacelike spherically symmetric CMC hypersurfaces in Schwarzschild spacetimes (I): Construction

Abstract

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.

32 pages, 10 figures

References in corpus (2)

• Constant mean curvature slices in the extended Schwarzschild solution and collapse of the lapse: Part I
• The general spherically symmetric constant mean curvature foliations of the Schwarzschild solution

Cited by in corpus (4)

• Spacelike spherically symmetric CMC foliation in the extended Schwarzschild spacetime
• Existence of constant mean curvature foliation in the extended Schwarzschild spacetime
• Quasi-Local Mass near the Singularity, the Event Horizon and the Null Infinity of Black Hole Spacetimes
• Constant mean curvature foliation properties in the extended Reissner-Nordstrom spacetimes