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2015

Ultraviolet asymptotics and singular dynamics of AdS perturbations

Craps, Ben, Evnin, Oleg, Vanhoof, Joris

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Important insights into the dynamics of spherically symmetric AdS-scalar field perturbations can be obtained by considering a simplified time-averaged theory accurately describing perturbations of amplitude epsilon on time-scales of order 1/epsilon^2.

The coefficients of the time-averaged equations are complicated expressions in terms of the AdS scalar field mode functions, which are in turn related to the Jacobi polynomials.
We analyze the behavior of these coefficients for high frequency modes.
The resulting asymptotics can be useful for understanding the properties of the finite-time singularity in solutions of the time-averaged theory recently reported in the literature.

Ultraviolet asymptotics and singular dynamics of AdS perturbations · Around

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P. Bizoń and A. Rostworowski, “On weakly turbulent instability of anti-de Sitter space,”
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2011
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O. J. C. Dias, G. T. Horowitz, D. Marolf and J. E. Santos, “On the Nonlinear Stability of Asymptotically Anti-de Sitter Solutions,”
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2012
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M. Maliborski and A. Rostworowski, “Lecture Notes on Turbulent Instability of Anti-de Sitter Spacetime,”
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2013
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M. Maliborski and A. Rostworowski, “Time-Periodic Solutions in an Einstein AdS-Massless-Scalar-Field System,”
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2013
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A. Buchel, S. L. Liebling and L. Lehner, “Boson stars in AdS spacetime,”
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2013
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N. Deppe and A. R. Frey, “Classes of Stable Initial Data for Massless and Massive Scalars in Anti-de Sitter Spacetime,”

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P. Bizoń, M. Maliborski and A. Rostworowski, “Resonant dynamics and the instability of anti-de Sitter spacetime,” arXiv:1506.03519 [gr-qc]

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