The formation of trapped surfaces in the gravitational collapse of spherically symmetric scalar fields with a positive cosmological constant

João L. Costa

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arXiv · 2005.03434

The formation of trapped surfaces in the gravitational collapse of spherically symmetric scalar fields with a positive cosmological constant

João L. Costa

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Abstract

Given spherically symmetric characteristic initial data for the Einstein-scalar field system with a positive cosmological constant, we provide a criterion, in terms of the dimensionless size and dimensionless renormalized mass content of an annular region of the data, for the formation of a future trapped surface. This corresponds to an extension of Christodoulou's classical criterion by the inclusion of the cosmological term.

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João L. Costa. 2020-05-07. The formation of trapped surfaces in the gravitational collapse of spherically symmetric scalar fields with a positive cosmological constant. https://arxiv.org/abs/2005.03434

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