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Critical behaviour in gravitational collapse of radiation fluid --- A renormalization group (linear perturbation) analysis ---

3 Pith papers cite this work. Polarity classification is still indexing.

3 Pith papers citing it
abstract

A scenario is presented, based on renormalization group (linear perturbation) ideas, which can explain the self-similarity and scaling observed in a numerical study of gravitational collapse of radiation fluid. In particular, it is shown that the critical exponent $\beta$ and the largest Lyapunov exponent ${\rm Re\, } \kappa$ of the perturbation is related by $\beta= ({\rm Re\, } \kappa) ^{-1}$. We find the relevant perturbation mode numerically, and obtain a fairly accurate value of the critical exponent $\beta \simeq 0.3558019$, also in agreement with that obtained in numerical simulation.

citation-role summary

background 1 method 1

citation-polarity summary

years

2026 2 2020 1

verdicts

UNVERDICTED 3

representative citing papers

Critical spacetime crystals in continuous dimensions

gr-qc · 2026-02-10 · unverdicted · novelty 7.0

Numerical construction of a one-parameter family of discretely self-similar critical spacetimes for massless scalar collapse in continuous D>3, giving echoing period Delta(D) and Choptuik exponent gamma(D) with a maximum in Delta near D=3.76.

citing papers explorer

Showing 3 of 3 citing papers.

  • Constraints on the Primordial Black Hole Abundance using Pulsar Parameter Drifts astro-ph.CO · 2026-04-24 · unverdicted · none · ref 72

    The first search for scalar-induced gravitational waves via pulsar parameter drifts yields f_PBH < 10^{-10} (95% CL) for PBH masses 0.3 to 4e4 solar masses, strongly disfavoring a primordial black hole origin for LVK binary black holes.

  • Critical spacetime crystals in continuous dimensions gr-qc · 2026-02-10 · unverdicted · none · ref 6 · internal anchor

    Numerical construction of a one-parameter family of discretely self-similar critical spacetimes for massless scalar collapse in continuous D>3, giving echoing period Delta(D) and Choptuik exponent gamma(D) with a maximum in Delta near D=3.76.

  • Primordial Black Holes as Dark Matter: Recent Developments astro-ph.CO · 2020-06-03 · unverdicted · none · ref 103 · internal anchor

    Primordial black holes in specific mass ranges could account for some or all dark matter while resolving structure-formation and seed problems in standard cosmology.