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2008

The time evolution of marginally trapped surfaces

Andersson, Lars, Mars, Marc, Metzger, Jan et al.

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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.

The time evolution of marginally trapped surfaces · Around

Built on

S. W. Hawking and G. F. R. Ellis, The large scale structure of space-time , Cambridge University Press, London, 1973, Cambridge Monographs on Mathematical Physics, No. 1
1973
Earlier work this paper cites.
L. Nirenberg, Topics in nonlinear functional analysis , Courant Institute of Mathematical Sciences, New York University, 1973–1974
1974
Earlier work this paper cites.
D. Gannon, On the topology of Spacelike Hypersurfaces, Singularities, and Black Holes , Gen. Relativity Gravitation 7
1976
Earlier work this paper cites.

Similar

G. Totschnig, Ein Singularitätentheorem für outertrapped surfaces , Master’s thesis, Universität Wien, 1994
1994
Cited alongside, same era.
L. Andersson and J. Metzger, Curvature estimates for stable marginally trapped surfaces , arXiv:gr-qc/0512106, 2005
2005
Cited alongside, same era.
L. Andersson, M. Mars, and W. Simon, Local existence of dynamical and trapping horizons , Phys. Rev. Lett. 95
2005
Cited alongside, same era.

Then

Lars Andersson, Marc Mars, and Walter Simon, Stability of marginally outer trapped surfaces and existence of marginally outer trapped tubes , Adv. Theor. Math. Phys. 12
2008
Closest in time.
L. Andersson, The trapped region , Proc. Spanish Rel meeting Salamanca 2008, Amer. Inst. of Physics, 2009, to appear
2009
Closest in time.

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