Stochastic gravity and turbulence
arXiv:2105.01551 · doi:10.1007/JHEP12(2021)185
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.
arXiv comment24 pages, 7 figures
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