Quasi-Round MOTSs and Stability of the Schwarzschild Null Penrose Inequality

Roesch Henri

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Quasi-Round MOTSs and Stability of the Schwarzschild Null Penrose Inequality

机译：准圆形的施瓦茨柴尔德猪肉不等式的稳定性

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In Roesch (Proof of a null penrose conjecture using a new quasi-local mass, [gr-qc], 2016), the notion of Double Convexity for a foliation of a conical null hypersurface was introduced to give a proof, if satisfied, of the Null Penrose Inequality. Double Convexity constrains the geometry of a Marginally Outer Trapped Surface (MOTS), called a quasi-round MOTS. In the first part of this paper, for a class of strictly stable Weakly Isolated Horizons, we show the existence of a unique foliation by quasi-round MOTS. In the second part, we show that any subsequent space-time perturbation continues to admit a quasi-round MOTS. Finally, for perturbations of the quasi-round MOTS in Schwarzschild, we identify sufficient conditions on the asymptotics of any past-pointing null hypersurface that yields the Null Penrose Inequality.

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《Annales Henri Poincare》 |2021年第6期|共42页
作者
Roesch Henri;
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Columbia Univ New York New York NY 10027 USA;

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正文语种 eng
中图分类理论物理学;
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Quasi-Round MOTSs and Stability of the Schwarzschild Null Penrose Inequality

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