A note on time-symmetric hypersurfaces in the Schwarzschild geometry
classification
🌀 gr-qc
keywords
geometrynoteschwarzschildtime-symmetricbifurcationclassdifferentiabilityembedded
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In this note we show that any inextensible time-symmetric space-like hypersurface of differentiability class $C^k$, $k\geq 2$ isometrically embedded in the maximal Schwarzschild geometry must intersect the bifurcation sphere.
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