Fast and slow coherent cascades in anti-de Sitter spacetime

被引:5
作者
Dimitrakopoulos, Fotios, V [1 ]
Freivogel, Ben
Pedraza, Juan F.
机构
[1] Univ Amsterdam, Inst Phys, GRAPPA, Sci Pk 904, NL-1090 GL Amsterdam, Netherlands
关键词
AdS/CFT correspondence; stability of AdS; classical black holes; turbulent dynamics; resonant approximation; INSTABILITY;
D O I
10.1088/1361-6382/aac0b5
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We study the phase and amplitude dynamics of small perturbations in 3 + 1 dimensional anti-de Sitter spacetime using the truncated resonant approximation, also known as the two time framework. We analyse the phase spectrum for different classes of initial data and find that higher frequency modes turn on with coherently aligned phases. Combining numerical and analytical results, we conjecture that there is a class of initial conditions that collapse in infinite slow time and to which the well-studied case of the two-mode, equal energy initial data belongs. We additionally study perturbations that collapse in finite time, and find that the energy spectrum approaches a power law, with the energy per mode scaling approximately as the inverse first power of the frequency.
引用
收藏
页数:18
相关论文
共 39 条
[1]   Holographic relaxation of finite size isolated quantum systems [J].
Abajo-Arrastia, Javier ;
da Silva, Emilia ;
Lopez, Esperanza ;
Mas, Javier ;
Serantes, Alexandre .
JOURNAL OF HIGH ENERGY PHYSICS, 2014, (05) :1-33
[2]  
[Anonymous], ARXIV13072875
[3]   Balasubramanian et al. Reply [J].
Balasubramanian, Venkat ;
Buchel, Alex ;
Green, Stephen R. ;
Lehner, Luis ;
Liebling, Steven L. .
PHYSICAL REVIEW LETTERS, 2015, 115 (04)
[4]   Holographic Thermalization, Stability of Anti-de Sitter Space, and the Fermi-Pasta-Ulam Paradox [J].
Balasubramanian, Venkat ;
Buchel, Alex ;
Green, Stephen R. ;
Lehner, Luis ;
Liebling, Steven L. .
PHYSICAL REVIEW LETTERS, 2014, 113 (07)
[5]   A stochasticity threshold in holography and the instability of AdS [J].
Basu, Pallab ;
Krishnan, Chethan ;
Saurabh, Ayush .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2015, 30 (21)
[6]   AdS (in)stability: Lessons from the scalar field [J].
Basu, Pallab ;
Krishnan, Chethan ;
Subramanian, P. N. Bala .
PHYSICS LETTERS B, 2015, 746 :261-265
[7]   Resonant Dynamics and the Instability of Anti-de Sitter Spacetime [J].
Bizon, Piotr ;
Maliborski, Maciej ;
Rostworowski, Andrzej .
PHYSICAL REVIEW LETTERS, 2015, 115 (08)
[8]   Comment on "Holographic Thermalization, Stability of Anti-de Sitter Space, and the Fermi-Pasta-Ulam Paradox" [J].
Bizon, Piotr ;
Rostworowski, Andrzej .
PHYSICAL REVIEW LETTERS, 2015, 115 (04)
[9]   Globally Regular Instability of 3-Dimensional Anti-De Sitter Spacetime [J].
Bizon, Piotr ;
Jalmuzna, Joanna .
PHYSICAL REVIEW LETTERS, 2013, 111 (04)
[10]   Weakly Turbulent Instability of Anti-de Sitter Spacetime [J].
Bizon, Piotr ;
Rostworowski, Andrzej .
PHYSICAL REVIEW LETTERS, 2011, 107 (03)