Spacelike Spherically Symmetric CMC Foliation in the Extended Schwarzschild Spacetime

Kuo Wei Lee; Yng Ing Lee

doi:10.1007/s00023-015-0432-y

Spacelike Spherically Symmetric CMC Foliation in the Extended Schwarzschild Spacetime

Kuo Wei Lee, Yng Ing Lee

Department of Mathematics

Research output: Contribution to journal › Article

2 Citations (Scopus)

Abstract

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 Ó Murchadha (Phys Rev D (3) 68:124019, 2003).

Original language	English
Pages (from-to)	1477-1503
Number of pages	27
Journal	Annales Henri Poincare
Volume	17
Issue number	6
DOIs	https://doi.org/10.1007/s00023-015-0432-y
Publication status	Published - 2016 Jun 1

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Nuclear and High Energy Physics
Mathematical Physics

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10.1007/s00023-015-0432-y

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Lee, K. W., & Lee, Y. I. (2016). Spacelike Spherically Symmetric CMC Foliation in the Extended Schwarzschild Spacetime. Annales Henri Poincare, 17(6), 1477-1503. https://doi.org/10.1007/s00023-015-0432-y

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abstract = "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 (Phys Rev D (3) 68:124019, 2003).",

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