Spacelike spherically symmetric CMC foliation in the extended Schwarzschild spacetime

Abstract

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 in their 2003 paper.

28 pages, 3 figures. This paper is submitted and accepted in Annales Henri Poincaré

References in corpus (1)

• The general spherically symmetric constant mean curvature foliations of the Schwarzschild solution

Cited by in corpus (4)

• 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
• Dirichlet problem for the constant mean curvature equation and CMC foliation in the extended Schwarzschild spacetime
• Constant mean curvature foliation properties in the extended Reissner-Nordstrom spacetimes