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arXiv:1507.07447 [math.DG]AbstractReferencesReviewsResources

Spacelike spherically symmetric CMC foliation in the extended Schwarzschild spacetime

Kuo-Wei Lee, Yng-Ing Lee

Published 2015-07-27Version 1

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.

Comments: 28 pages, 3 figures. This paper is submitted and accepted in Annales Henri Poincar\'e
Categories: math.DG, gr-qc, math-ph, math.MP
Subjects: 83C15, 83C05
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