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2012

A Kolmogorov-Zakharov Spectrum in $AdS$ Gravitational Collapse

de Oliveira, H. P., Zayas, Leopoldo A. Pando, Rodrigues, E. L.

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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 $s\approx 1.7\pm 0.1$.

A Kolmogorov-Zakharov Spectrum in $AdS$ Gravitational Collapse · Around

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2011

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O. J. C. Dias, G. T. Horowitz and J. E. Santos, “Gravitational Turbulent Instability of Anti-de Sitter Space,” arXiv:1109.1825 [hep-th]

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G. Düring, C. Falcón and L. A. Pando Zayas, “ The Wave Turbulence Path to Gravitational Collapse,” In progress

Cited in the paper.

O. J. C. Dias, G. T. Horowitz, D. Marolf and J. E. Santos, “On the Nonlinear Stability of Asymptotically Anti-de Sitter Solutions,” arXiv:1208.5772 [gr-qc]

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