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Instability of Flat Space Enclosed in a Cavity

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arxiv 1208.2934 v2 pith:XVQFWKI4 submitted 2012-08-14 gr-qc hep-th

classification gr-qchep-th
keywords enclosedarbitrarilyblackcavityconsiderdataevidenceevolve
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abstract

We consider a spherically symmetric self-gravitating massless scalar field enclosed inside a timelike worldtube $R\times S^3$ with a perfectly reflecting wall. Numerical evidence is given that arbitrarily small generic initial data evolve into a black hole.

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Cited by 3 Pith papers

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

  1. New islands of stability with double-trace deformations

    hep-th 2019-08 conditional novelty 8.0 of 10

    Neumann boundary conditions in anti-de Sitter space admit non-collapsing, multi-mode scalar solutions with arbitrarily small amplitude despite a fully resonant spectrum.

  2. On turbulence for spacetimes with stable trapping

    gr-qc 2024-11 conditional novelty 7.0 of 10

    On a fixed spacetime with stable trapping, the cubic wave equation produces a forward angular-mode cascade and growth of higher-order derivatives, behavior absent for linear waves.

  3. Critical Phenomena in Gravitational Collapse

    gr-qc 2025-07 unverdicted novelty 3.0 of 10

    An authoritative review of critical collapse, updated with results on nonspherical vacuum collapse and rigorous PDE blowup.

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