## Non-boost invariant fluid dynamics

Jan de Boer, Jelle Hartong, Emil Have, Niels A. Obers, Watse Sybesma

SciPost Phys. 9, 018 (2020) · published 11 August 2020

- doi: 10.21468/SciPostPhys.9.2.018
- Submissions/Reports

### Abstract

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 rota- tional 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 perturba- tions 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.

### Cited by 1

### Ontology / Topics

See full Ontology or Topics database.### Authors / Affiliations: mappings to Contributors and Organizations

See all Organizations.-
^{1}Jan de Boer, -
^{2}Jelle Hartong, -
^{2}Emil Have, -
^{3}^{4}Niels Obers, -
^{5}Watse Sybesma

^{1}Institute of Physics, University of Amsterdam [IoP, UvA]^{2}Maxwell Institute for Mathematical Sciences^{3}Nordisk Institut for Teoretisk Fysik / Nordic Institute for Theoretical Physics [NORDITA]^{4}Niels Bohr Institute [NBI]^{5}Háskóli Íslands / University of Iceland

- Det Frie Forskningsråd / Danish Council for Independent Research [DFF]
- FP7 Seventh Framework Programme (FP7) (through Organization: European Commission [EC])
- Rannsóknamiðstöð Íslands / Icelandic Centre for Research [Rannis]
- Royal Society
- Villum Fonden / Velux Foundation