Wednesday, September 12, 2012

1209.2369 (H. P. de Oliveira et al.)

A Kolmogorov-Zakharov Spectrum in $AdS$ Gravitational Collapse    [PDF]

H. P. de Oliveira, Leopoldo A. Pando Zayas, E. L. Rodrigues
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 $s\approx 1.61$ which is tantalizingly close to Kolmogorov's 5/3.
View original: http://arxiv.org/abs/1209.2369

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