Abstract
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.
Funder
CERN
Fundação para a Ciência e a Tecnologia
Subject
Physics and Astronomy (miscellaneous)
Reference33 articles.
1. Formation of trapped surfaces from past null infinity;An,2012
2. Trapped surfaces in vacuum arising dynamically from mild incoming radiation;An;Adv. Theor. Math. Phys.,2017
3. A scale-critical trapped surface formation criterion: a new proof via signature for decay rates;An,2019
4. Polynomial blow-up upper bounds for the Einstein-scalar field system under spherical symmetry;An;Commun. Math. Phys.,2020
5. Curvature blow-up rates in spherically symmetric gravitational collapse to a Schwarzschild black hole;An,2020
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献