Formation of Trapped Surfaces from Past Null Infinity

Abstract

In this paper, we extend the results of Klainerman and Rodnianski in \cite{KR:Trapped}, which were obtained for a finite region, by showing similar results from past null infinity. This allows us to recover and extend the results from past null infinity in the work of Christodoulou \cite{Chr:book}.

125 pages, an updated version

References in corpus (4)

• A scattering theory construction of dynamical vacuum black holes
• A fully anisotropic mechanism for formation of trapped surfaces in vacuum
• Ultimately Schwarzschildean Spacetimes and the Black Hole Stability Problem
• Dynamical formation of black holes due to the condensation of matter field

Cited by in corpus (4)

• Trapped surfaces in vacuum arising dynamically from mild incoming radiation
• A Scale-Critical Trapped Surface Formation Criterion: A New Proof via Signature for Decay Rates
• Anisotropic Dynamical Horizons Arising in Gravitational Collapse
• A scale-critical trapped surface formation criterion for the Einstein-Maxwell system