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Critical behavior in vacuum gravitational collapse in 4+1 dimensions

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abstract

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.

fields

gr-qc 1

years

2026 1

verdicts

ACCEPT 1

representative citing papers

Regular Black Holes in Nonlocal Quasitopological Gravity

gr-qc · 2026-07-08 · 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.

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  • Regular Black Holes in Nonlocal Quasitopological Gravity gr-qc · 2026-07-08 · accept · none · ref 11 · internal anchor

    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.