Stochastic gravity and turbulence

Sebastian Waeber; Amos Yarom

doi:10.1007/JHEP12(2021)185

Stochastic gravity and turbulence

Sebastian Waeber
, Amos Yarom

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

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 and Kraichnan.

Original language	English
Article number	185
Journal	Journal of High Energy Physics
Volume	2021
Issue number	12
DOIs	https://doi.org/10.1007/JHEP12(2021)185
State	Published - 1 Dec 2021
Externally published	Yes

Keywords

AdS-CFT Correspondence
Black Holes
Gauge-gravity correspondence
Random Systems

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1007/JHEP12(2021)185

Cite this

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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 and Kraichnan.",

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AU - Yarom, Amos

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AB - 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 and Kraichnan.

KW - AdS-CFT Correspondence

KW - Black Holes

KW - Gauge-gravity correspondence

KW - Random Systems

UR - https://www.scopus.com/pages/publications/85121697329

U2 - 10.1007/JHEP12(2021)185

DO - 10.1007/JHEP12(2021)185

M3 - Article

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VL - 2021

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 12

M1 - 185

ER -

Stochastic gravity and turbulence

Abstract

Keywords

ASJC Scopus subject areas

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