A note on time-symmetric hypersurfaces in the Schwarzschild geometry

Details A note on time-symmetric hypersurfaces in the Schwarzschild geometry A note on time-symmetric hypersurfaces in the Schwarzschild geometry

2010-08-23

arxiv.org/abs/1008.3841v2

Class.Quant.Grav.27:217001,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Proof of corollary 2 extended to include hypersurfaces with null regions. Some additional considerations in section 4 dealing

Scientific paper

10.1088/0264-9381/27/21/217001

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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