Unruh effect in curved space-time and hydrodynamics
High Energy Physics - Theory
2023-08-21 v1
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.
Cite
@article{arxiv.2308.08647,
title = {Unruh effect in curved space-time and hydrodynamics},
author = {R. V. Khakimov and G. Yu. Prokhorov and O. V. Teryaev and V. I. Zakharov},
journal= {arXiv preprint arXiv:2308.08647},
year = {2023}
}