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arxiv: 1507.07447 · v1 · pith:75IWLPWPnew · submitted 2015-07-27 · 🧮 math.DG · gr-qc· math-ph· math.MP

Spacelike spherically symmetric CMC foliation in the extended Schwarzschild spacetime

classification 🧮 math.DG gr-qcmath-phmath.MP
keywords characterizationfoliationschwarzschildspacelikespacetimesphericallyss-cmcsymmetric
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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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