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Critical behavior in vacuum gravitational collapse in 4+1 dimensions

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arxiv gr-qc/0506074 v1 pith:ZTAGJ7AT submitted 2005-06-13 gr-qc

Critical behavior in vacuum gravitational collapse in 4+1 dimensions

classification gr-qc
keywords gravitationalbehaviorcollapsecriticalvacuumwavesadmitblack
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We show that the 4+1 dimensional vacuum Einstein equations admit gravitational waves with radial symmetry. The dynamical degrees of freedom correspond to deformations of the three-sphere orthogonal to the $(t,r)$ plane. Gravitational collapse of such waves is studied numerically and shown to exhibit discretely self-similar Type II critical behavior at the threshold of black hole formation.

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Cited by 1 Pith paper

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

  1. Regular Black Holes in Nonlocal Quasitopological Gravity

    gr-qc 2026-07 accept novelty 7.0

    Infinite-derivative completions of quasitopological gravities are ghost-free, avoid strong coupling, and admit exact spherically symmetric vacuum regular black holes obeying a perturbative Birkhoff theorem.