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Turbulence and Chaos in Anti-de-Sitter Gravity · Around

2012

Turbulence and Chaos in Anti-de-Sitter Gravity

de Oliveira, H. P., Zayas, Leopoldo A. Pando, Terrero-Escalante, Cesar A.

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Due to the AdS/CFT correspondence the question of instability of Anti-de-Sitter spacetimes sits in the intersection of mathematical and numerical relativity, string theory, field theory and condensed matter physics.

In this essay we revisit that important question emphasizing the power of spectral methods and highlighting the effectiveness of standard techniques for studying nonlinear dynamical systems.
In particular we display explicitly how the problem can be modeled as a system on nonlinearly coupled harmonic oscillators.
We highlight some of the many open questions that stem from this result and point out that a full understanding will necessarily required the interdisciplinary cooperation of various communities.

Built on

S. Newhouse, D. Ruelle, and F. Takens, Comm. Math. Phys., 64
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Earlier work this paper cites.
J. M. Maldacena, Adv. Theor. Math. Phys. 2
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Earlier work this paper cites.
S. W. Hawking and D. N. Page, “Thermodynamics of Black Holes in anti-De Sitter Space,” Commun. Math. Phys. 87
1998
Earlier work this paper cites.

Similar

J. Boyd, Chebyshev and Fourier spectral methods
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A. Ishibashi and R. M. wald, Class. Quant. Grav. 21
2004
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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]
Original
Cited in the paper.

Then

P. Bizon and A. Rostworowski, “On weakly turbulent instability of anti-de Sitter space,” Phys. Rev. Lett. 107
Original
2011
Later among the works it cites.
D. Garfinkle, L. A. Pando Zayas and D. Reichmann, “On Field Theory Thermalization from Gravitational Collapse,” JHEP 1202
Original
2011
Later among the works it cites.

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