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Spacelike spherically symmetric CMC foliation in the extended Schwarzschild spacetime (1507.07447v1)
Published 27 Jul 2015 in math.DG, gr-qc, math-ph, and math.MP
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 \'{O} Murchadha in their 2003 paper.
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