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Unruh effect in curved space-time and hydrodynamics

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arxiv 2308.08647 v1 pith:M64FZRTN submitted 2023-08-16 hep-th

R. V. Khakimov , G. Yu. Prokhorov , O. V. Teryaev , V. I. Zakharov This is my paper · ORCID
classification hep-th
keywords curvedacceleratedflathydrodynamicsspace-timespace-timesaccelerationanalyzing
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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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  1. Effective Lagrangian for the macroscopic motion of Weyl fermions in $^3$He-A

    cond-mat.mes-hall 2024-12 conditional novelty 7.0 of 10

    Derives a macroscopic-motion effective Lagrangian for Weyl fermions in 3He-A and uses it to compute equilibrium thermodynamics around integer mass vortices.

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