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arxiv: 1111.2679 · v2 · pith:3DXTLISKnew · submitted 2011-11-11 · 🧮 math.DG · gr-qc· math-ph· math.MP

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

classification 🧮 math.DG gr-qcmath-phmath.MP
keywords hypersurfacesschwarzschildspacelikespacetimessphericallyss-cmcsymmetricanalyze
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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.

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