Stochastic gravity and turbulence

TL;DR

This paper investigates the behavior of energy turbulence in stochastic gravity by numerically solving Einstein equations and analyzing the energy spectrum, revealing Kolmogorov-like power law behavior in a holographic framework.

Contribution

It introduces a numerical approach to study energy turbulence in stochastic gravity and connects holographic Einstein solutions to turbulence spectra.

Findings

Energy power spectrum follows Kolmogorov power law

Numerical solutions of Einstein equations in stochastic gravity

Holographic duality links gravity solutions to turbulence phenomena

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.