After the fluid: subexponential decay in AdS4
- 1University of Cambridge
Abstract
A bstract : We study the late-time behaviour of nonlinear perturbations of Schwarzschild-AdS ₄ black branes and show that real-analytic initial data generically enter a regime controlled by the large- k tail of the quasinormal mode spectrum { ω k n }. Using the asymptotic scaling Im ω k n ~ k −1/5 of the planar AdS ₄ black brane, we derive a universal prediction that boundary observables decay in a stretched-exponential manner, specifically as exp(− c t 5/6 ) up to a mild polynomial prefactor. Fully nonlinear numerical evolutions employing Fourier spectral and discontinuous Galerkin methods confirm this behaviour for small black holes and show consistent scaling — after suppressing long-lived low- k modes — for larger ones. These results indicate that stretched-exponential decay with exponent 5 / 6 is a robust feature of AdS ₄ gravitational dynamics with real-analytic data, arising from geometric-optics physics rather than hydrodynamic modes.
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BibTeX
@article{crump2026after,
title = {{After the fluid: subexponential decay in AdS4}},
author = {John R. V. Crump and Jorge E. Santos},
journal = {Journal of High Energy Physics},
year = {2026},
month = oct,
doi = {10.1007/jhep10(2026)044},
url = {https://link.springer.com/10.1007/JHEP10(2026)044},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - After the fluid: subexponential decay in AdS4
AU - John R. V. Crump
AU - Jorge E. Santos
PY - 2026
DA - 2026/10/05
JO - Journal of High Energy Physics
DO - 10.1007/jhep10(2026)044
UR - https://link.springer.com/10.1007/JHEP10(2026)044
AB - A bstract : We study the late-time behaviour of nonlinear perturbations of Schwarzschild-AdS ₄ black branes and show that real-analytic initial data generically enter a regime controlled by the large- k tail of the quasinormal mode spectrum { ω k n }. Using the asymptotic scaling Im ω k n ~ k −1/5 of the planar AdS ₄ black brane, we derive a universal prediction that boundary observables decay in a stretched-exponential manner, specifically as exp(− c t 5/6 ) up to a mild polynomial prefactor. Fully nonlinear numerical evolutions employing Fourier spectral and discontinuous Galerkin methods confirm this behaviour for small black holes and show consistent scaling — after suppressing long-lived low- k modes — for larger ones. These results indicate that stretched-exponential decay with exponent 5 / 6 is a robust feature of AdS ₄ gravitational dynamics with real-analytic data, arising from geometric-optics physics rather than hydrodynamic modes.
SN - 1029-8479
ER -