Spacelike Spherically Symmetric CMC Foliation in the Extended Schwarzschild Spacetime

Kuo-Wei Lee, Yng Ing Lee

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 languageEnglish
Pages (from-to)1477-1503
Number of pages27
JournalAnnales Henri Poincare
Volume17
Issue number6
DOIs
Publication statusPublished - 2016 Jun 1

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Constant Mean Curvature
Foliation
Space-time
curvature
Hypersurface
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All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Nuclear and High Energy Physics
  • Mathematical Physics

Cite this

Lee, Kuo-Wei ; Lee, Yng Ing. / Spacelike Spherically Symmetric CMC Foliation in the Extended Schwarzschild Spacetime. In: Annales Henri Poincare. 2016 ; Vol. 17, No. 6. pp. 1477-1503.
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Lee, K-W & Lee, YI 2016, 'Spacelike Spherically Symmetric CMC Foliation in the Extended Schwarzschild Spacetime', Annales Henri Poincare, vol. 17, no. 6, pp. 1477-1503. https://doi.org/10.1007/s00023-015-0432-y

Spacelike Spherically Symmetric CMC Foliation in the Extended Schwarzschild Spacetime. / Lee, Kuo-Wei; Lee, Yng Ing.

In: Annales Henri Poincare, Vol. 17, No. 6, 01.06.2016, p. 1477-1503.

Research output: Contribution to journal › Article

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AB - 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).

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Lee K-W, Lee YI. Spacelike Spherically Symmetric CMC Foliation in the Extended Schwarzschild Spacetime. Annales Henri Poincare. 2016 Jun 1;17(6):1477-1503. https://doi.org/10.1007/s00023-015-0432-y

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