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

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.

preprint2011arXivOpen access
Kuo-Wei LeeYng-Ing Lee
math-phmath.MPgr-qcmath.DG
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Open access2 authors4 topics
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Kuo-Wei LeeYng-Ing Lee

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