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Gravitational Collapse of Gravitational Waves in 3D Numerical Relativity

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arxiv gr-qc/9904013 v1 pith:VJ6U4TYD submitted 1999-04-06 gr-qc

Miguel Alcubierre , Gabrielle Allen , Bernd Bruegmann , Gerd Lanfermann , Edward Seidel , Wai-Mo Suen , Malcolm Tobias This is my paper · ORCID
classification gr-qc
keywords wavesblackgravitationalcollapseemittedformationholeholes
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We demonstrate that evolutions of three-dimensional, strongly non-linear gravitational waves can be followed in numerical relativity, hence allowing many interesting studies of both fundamental and observational consequences. We study the evolution of time-symmetric, axisymmetric {\it and} non-axisymmetric Brill waves, including waves so strong that they collapse to form black holes under their own self-gravity. The critical amplitude for black hole formation is determined. The gravitational waves emitted in the black hole formation process are compared to those emitted in the head-on collision of two Misner black holes.

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Cited by 4 Pith papers

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

  1. Dust stars in the minimal exponential measure model

    gr-qc 2025-05 conditional novelty 7.0 of 10

    Dust can form stable horizonless compact objects in the MEMe modified gravity model, offering a dark matter candidate and a mechanism that suppresses black hole formation below about 10^-11 solar masses.

  2. Comparing twist-free axisymmetric gravitational waves near the black hole threshold

    gr-qc 2026-07 conditional novelty 5.0 of 10

    Independent codes (bamps, prague, sphGR) agree on near-threshold vacuum wave collapse, confirming family-dependent scaling and quasi-universal strong-field features.

  3. Critical collapse of vacuum spacetimes: Nakamura wave initial data

    gr-qc 2026-06 unverdicted novelty 5.0 of 10

    Simulations with Nakamura wave initial data confirm approximately discretely self-similar threshold solutions in vacuum gravitational wave collapse, but without exact self-similarity or a unique critical solution, con...

  4. 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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