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  • Letter
  • Open Access

Unruh effect in curved spacetime and hydrodynamics

R. V. Khakimov1,2,3, G. Yu. Prokhorov1,2, O. V. Teryaev1,2, and V. I. Zakharov2,1,4

  • 1Joint Institute for Nuclear Research, Joliot-Curie street 6, Dubna 141980, Russia
  • 2NRC Kurchatov Institute, Akademika Kurchatova pl. 1, Moscow 123098, Russia
  • 3Physics Department, Lomonosov Moscow State University, 1-2 Leninskie Gory, Moscow 119991, Russia
  • 4Pacific Quantum Center, Far Eastern Federal University, 10 Ajax Bay, Russky Island, Vladivostok 690950, Russia

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Phys. Rev. D 108, L121701 – Published 7 December, 2023

DOI: https://doi.org/10.1103/PhysRevD.108.L121701

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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Outline

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Phys. Rev. D 108, L121701– Published 7 December, 2023
  • Received 5 September 2023
  • Accepted 24 October 2023
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