Kolmogorov-Zakharov Spectrum in AdS Gravitational Collapse
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作者:
de Oliveira, H. P.
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Univ Estado Rio de Janeiro, Inst Fis, Dept Fis Teor, BR-20550013 Rio De Janeiro, BrazilUniv Estado Rio de Janeiro, Inst Fis, Dept Fis Teor, BR-20550013 Rio De Janeiro, Brazil
de Oliveira, H. P.
[1
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Zayas, Leopoldo A. Pando
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Univ Michigan, Randall Lab Phys, Michigan Ctr Theoret Phys, Ann Arbor, MI 48109 USAUniv Estado Rio de Janeiro, Inst Fis, Dept Fis Teor, BR-20550013 Rio De Janeiro, Brazil
Zayas, Leopoldo A. Pando
[2
]
Rodrigues, E. L.
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Univ Estado Rio de Janeiro, Inst Fis, Dept Fis Teor, BR-20550013 Rio De Janeiro, BrazilUniv Estado Rio de Janeiro, Inst Fis, Dept Fis Teor, BR-20550013 Rio De Janeiro, Brazil
Rodrigues, E. L.
[1
]
机构:
[1] Univ Estado Rio de Janeiro, Inst Fis, Dept Fis Teor, BR-20550013 Rio De Janeiro, Brazil
[2] Univ Michigan, Randall Lab Phys, Michigan Ctr Theoret Phys, Ann Arbor, MI 48109 USA
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 omega(-s) with the frequency, omega, and s approximate to 1.7 +/- 0.1.
机构:
Univ Paris Cite, CNRS, Inst Math Jussieu Paris Rive Gauche IMJ PRG, F-75013 Paris, France
Sorbonne Univ, F-75013 Paris, FranceCNRS, 2 Ave Adolphe Chauvin, F-95300 Pontoise, France
Dietert, Helge
Germain, Pierre
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New York Univ, Courant Inst Math Sci, 251 Mercer St, New York, NY 10003 USACNRS, 2 Ave Adolphe Chauvin, F-95300 Pontoise, France
机构:
Univ Paris Cite, CNRS, Inst Math Jussieu Paris Rive Gauche IMJ PRG, F-75013 Paris, France
Sorbonne Univ, F-75013 Paris, FranceCNRS, 2 Ave Adolphe Chauvin, F-95300 Pontoise, France
Dietert, Helge
Germain, Pierre
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NYU, Courant Inst Math Sci, 251 Mercer St, New York, NY 10003 USACNRS, 2 Ave Adolphe Chauvin, F-95300 Pontoise, France