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arXiv · 1805.05684

Geometrical properties of trapped surfaces and apparent horizons

Abbas Sherif·Rituparno Goswami·Sunil D Maharaj
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Abstract

In this paper, we perform a detailed investigation on the various geometrical properties of trapped surfaces and the boundaries of trapped region in general relativity. This treatment extends earlier work on LRS II spacetimes to a general 4 dimensional spacetime manifold. Using a semi-tetrad covariant formalism, that provides a set of geometrical and matter variables, we transparently demonstrate the evolution of the trapped region and also extend Hawking's topology theorem to a wider class of spacetimes. In addition, we perform a stability analysis for the apparent horizons in this formalism, encompassing earlier works on this subject. As examples, we consider the stability of MOTS of the Schwarzschild geometry and Oppenheimer-Snyder collapse.

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Abbas Sherif, Rituparno Goswami, Sunil D Maharaj. 2018-05-15. Geometrical properties of trapped surfaces and apparent horizons. https://arxiv.org/abs/1805.05684

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