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Kolmogorov-Zakharov spectrum in AdS gravitational collapse
H P de Oliveira1, Leopoldo A Pando Zayas, E L Rodrigues
1Universidade do Estado do Rio de Janeiro, Instituto de Física, Departamento de Física Teórica, 20.550-013 Rio de Janeiro, Brazil.
Abstract:
We study black hole formation during the gravitational collapse of a massless scalar field in asymptotically D-dimensional anti-de Sitter 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 ω(-s) with the frequency, ω, and s ≈ 1.7 ± 0.1.
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