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

5 Pith papers cite this work, alongside 273 external citations. Polarity classification is still indexing.

5 Pith papers citing it
273 external citations · Pith
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.

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background 1 method 1

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years

2026 4 2020 1

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.

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