A Kolmogorov-Zakharov Spectrum in $AdS$ Gravitational Collapse

TL;DR

This paper demonstrates that gravitational collapse in asymptotically AdS spacetimes exhibits turbulence characterized by a Kolmogorov-Zakharov spectrum, revealing universal features of black hole formation.

Contribution

It provides the first evidence of turbulence and a Kolmogorov-Zakharov spectrum in spherically symmetric AdS gravitational collapse.

Findings

Power spectrum of Ricci scalar follows a ^{-s} law with sb1 0.1

Turbulent regime emerges after initial nonlinear evolution

Universal spectral behavior observed in 4 and 5 dimensions

Abstract

We study black hole formation during the gravitational collapse of a massless scalar field in asymptotically $AdS_D$ spacetimes for $D=4,5$. We conclude that spherically symmetric gravitational collapse in asymptotically $AdS$ spaces is turbulent and characterized by a Kolmogorov-Zakharov spectrum. Namely, we find that after an initial period of weakly nonlinear evolution, there is a regime where the power spectrum of the Ricci scalar evolves as $\omega^{-s}$ with the frequency, $\omega$, and $s\approx 1.7\pm 0.1$.