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Formation of Trapped Surfaces from Past Null Infinity

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arxiv 1207.5271 v3 pith:IORTF5ME submitted 2012-07-23 gr-qc math-phmath.APmath.DGmath.MP

Formation of Trapped Surfaces from Past Null Infinity

classification gr-qc math-phmath.APmath.DGmath.MP
keywords infinitynullpastresultsciteextendtrappedallows
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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}.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Semi-Global Existence and Trapped Surface Formation for the Einstein-Vlasov System

    math.AP 2025-10 conditional novelty 8.0

    Massless Vlasov matter in 3+1 dimensions, with large characteristic data and no symmetry, admits a semi-global smooth solution that forms a trapped surface when the initial null energy flux is large.

  2. Formation of Trapped Surfaces from Spacelike Initial Data

    gr-qc 2026-07 conditional novelty 7.0

    Short-pulse free scalars on a spacelike hypersurface yield asymptotically flat Cauchy data whose vacuum evolution forms trapped surfaces, including time-symmetric cases.

  3. Dynamical Formation of Black Holes due to Boundary Effect in Vacuum Gravity

    gr-qc 2025-11 reject novelty 6.0

    The authors argue that vacuum Einstein evolution can push a boundary-curvature quantity across Yau's threshold, forcing an apparent horizon to form without gravitational collapse.