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Non-boost invariant fluid dynamics

Non-boost invariant fluid dynamics

Title: Non-boost invariant fluid dynamics
Author: de Boer, Jan
Hartong, Jelle
Have, Emil
Obers, Niels
Sybesma, Watse
Date: 2020-08-11
Language: English
University/Institute: Háskóli Íslands
University of Iceland
School: Verkfræði- og náttúruvísindasvið (HÍ)
School of Engineering and Natural Sciences (UI)
Department: Raunvísindastofnun (HÍ)
Science Institute (UI)
Series: SciPost Physics;9(2)
ISSN: 2542-4653
DOI: 10.21468/SCIPOSTPHYS.9.2.018
Subject: Straumfræði
URI: https://hdl.handle.net/20.500.11815/2238

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De Boer, J., Hartong, J., Have, E., Obers, N., Sybesma, W., 2020. Non-boost invariant fluid dynamics. SciPost Physics. doi:10.21468/scipostphys.9.2.018


We consider uncharged fluids without any boost symmetry on an arbitrary curved background and classify all allowed transport coefficients up to first order in derivatives. We assume rotational symmetry and we use the entropy current formalism. The curved background geometry in the absence of boost symmetry is called absolute or Aristotelian spacetime. We present a closed-form expression for the energy-momentum tensor in Landau frame which splits into three parts: a dissipative (10), a hydrostatic non-dissipative (2) and a non-hydrostatic non-dissipative part (4), where in parenthesis we have indicated the number of allowed transport coefficients. The non-hydrostatic non-dissipative transport coefficients can be thought of as the generalization of coefficients that would vanish if we were to restrict to linearized perturbations and impose the Onsager relations. For the two hydrostatic and the four non-hydrostatic non-dissipative transport coefficients we present a Lagrangian description. Finally when we impose scale invariance, thus restricting to Lifshitz fluids, we find 7 dissipative, 1 hydrostatic and 2 non-hydrostatic non-dissipative transport coefficients.


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