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The time evolution of marginally trapped surfaces

MPG-Autoren

Andersson,  Lars
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Metzger,  Jan
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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0811.4721
(Preprint), 221KB

cqg9_8_085018.pdf
(beliebiger Volltext), 203KB

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Zitation

Andersson, L., Mars, M., Metzger, J., & Simon, W. (2009). The time evolution of marginally trapped surfaces. Classical and Quantum Gravity, 26: 085018. doi:10.1088/0264-9381/26/8/085018.


Zitierlink: http://hdl.handle.net/11858/00-001M-0000-0012-653C-3
Zusammenfassung
In previous work we have shown the existence of a dynamical horizon or marginally trapped tube (MOTT) containing a given strictly stable marginally outer trapped surface (MOTS). In this paper we show some results on the global behavior of MOTTs assuming the null energy condition. In particular we show that MOTSs persist in the sense that every Cauchy surface in the future of a given Cauchy surface containing a MOTS also must contain a MOTS. We describe a situation where the evolving outermost MOTS must jump during the coalescence of two seperate MOTSs. We furthermore characterize the behavior of MOTSs in the case that the principal eigenvalue vanishes under a genericity assumption. This leads to a regularity result for the tube of outermost MOTSs under the genericity assumption. This tube is then smooth up to finitely many jump times. Finally we discuss the relation of MOTSs to singularities of a space-time.