Stochastic gravity and turbulence
High Energy Physics - Theory
2022-01-05 v2 General Relativity and Quantum Cosmology
Chaotic Dynamics
Fluid Dynamics
Abstract
We study the ensemble average of the thermal expectation value of an energy momentum tensor in the presence of a random external metric. In a holographic setup this quantity can be read off of the near boundary behavior of the metric in a stochastic theory of gravity. By numerically solving the associated Einstein equations and mapping the result to the dual boundary theory, we find that the non relativistic energy power spectrum exhibits a power law behavior as expected by the theory of Kolmogorov.
Cite
@article{arxiv.2105.01551,
title = {Stochastic gravity and turbulence},
author = {Sebastian Waeber and Amos Yarom},
journal= {arXiv preprint arXiv:2105.01551},
year = {2022}
}
Comments
24 pages, 7 figures