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arXiv · 2308.08647

Unruh effect in curved space-time and hydrodynamics

R. V. Khakimov·G. Yu. Prokhorov·O. V. Teryaev·V. I. Zakharov
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Abstract

We consider an accelerated relativistic fluid in four-dimensional (anti-)de Sitter space-time. Analyzing only hydrodynamic equations, we construct the equilibrium stress-energy tensor. We confirm that (A)dS vacuum corresponds to a thermal bath in the accelerated frame with a temperature, depending on the acceleration in a flat higher-dimensional (namely, five-dimensional) space, in which curved space-times are embedded. We develop the duality between hydrodynamics and gravity finding a direct relationship between the transport coefficients in flat and curved space-times.

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R. V. Khakimov, G. Yu. Prokhorov, O. V. Teryaev, V. I. Zakharov. 2023-08-16. Unruh effect in curved space-time and hydrodynamics. https://arxiv.org/abs/2308.08647

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