Spacelike Spherically Symmetric CMC Foliation in the Extended Schwarzschild Spacetime

Spacelike Spherically Symmetric CMC Foliation in the Extended Schwarzschild Spacetime

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...

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Veröffentlicht in:Annales Henri Poincaré 2016-06, Vol.17 (6), p.1477-1503
Hauptverfasser: Lee, Kuo-Wei, Lee, Yng-Ing
Format: Artikel
Sprache:eng
Schlagworte:
Classical and Quantum Gravitation
Dynamical Systems and Ergodic Theory
Elementary Particles
Hyperspaces
Mathematical and Computational Physics
Mathematical Methods in Physics
Physics
Physics and Astronomy
Quantum Field Theory
Quantum Physics
Relativity Theory
Spacetime
Theoretical
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Zusammenfassung: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 ).
ISSN:1424-0637
1424-0661
DOI:10.1007/s00023-015-0432-y