We first summarize the characterization of smooth spacelike spherically symmetric constant mean curvature (SS-CMC) hypersurfaces in the Schwarzschild spacetime and Kruskal extension. Then use the characterization to prove special SS-CMC foliation property, and verify part of the conjecture by Malec and Ó Murchadha (Phys Rev D (3) 68:124019, 2003).
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Nuclear and High Energy Physics
- Mathematical Physics