Marginally trapped surfaces in spaces of oriented geodesics
نویسندگان
چکیده
منابع مشابه
The time evolution of marginally trapped surfaces
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 surf...
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The present work extends our short communication [1]. For smooth marginally outer trapped surfaces (MOTS) in a smooth spacetime we define stability with respect to variations along arbitrary vectors v normal to the MOTS. After giving some introductory material about linear non self-adjoint elliptic operators, we introduce the stability operator Lv and we characterize stable MOTS in terms of sig...
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The aim of this paper is to accurately describe the blowup of Jang’s equation. First, we discuss how to construct solutions that blow up at an outermost MOTS. Second, we exclude the possibility that there are extra blowup surfaces in data sets with non-positive mean curvature. Then we investigate the rate of convergence of the blowup to a cylinder near a strictly stable MOTS and show exponentia...
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ژورنال
عنوان ژورنال: Journal of Geometry and Physics
سال: 2014
ISSN: 0393-0440
DOI: 10.1016/j.geomphys.2014.03.012