Built on

M. Garbiso and M. Kaminski, “Dispersion relations in non-relativistic two-dimensional materials from quasinormal modes in Hǒrava Gravity,” JHEP
Original
1905
Earlier work this paper cites.
D. Fernández, A. Rajagopal, and L. Thorlacius, “Non-equilibrium steady states in quantum critical systems with Lifshitz scaling,” JHEP
Original
1909
Earlier work this paper cites.
I. Novak, J. Sonner, and B. Withers, “Hydrodynamics without boosts,” arXiv:1911.02578 [hep-th]
Original
1911
Earlier work this paper cites.
N. Poovuttikul and W. Sybesma, “First order non-Lorentzian fluids, entropy production and linear instabilities,” arXiv:1911.00010 [hep-th]
Original
1911
Earlier work this paper cites.
J. Armas, J. Hartong, E. Have, B. F. Nielsen, and N. A. Obers, “Newton-Cartan Submanifolds and Fluid Membranes,” arXiv:1912.01613 [hep-th]
Original
1912
Earlier work this paper cites.
L. Onsager, “Reciprocal relations in irreversible processes. I,” Phys. Rev
1931
Earlier work this paper cites.
L. Onsager, “Reciprocal relations in irreversible processes. ii.,” Phys. Rev
1931
Earlier work this paper cites.
New York: Benjamin, 1968
R. Penrose, Structure of space-time in · 1968
Earlier work this paper cites.
R. M. Hornreich, M. Luban, and S. Shtrikman, “Critical behavior at the onset of k → \stackrel{{\scriptstyle\rightarrow}}{{\mathrm{k}}} -space instability on the λ \lambda line,” Phys. Rev. Lett
1975
Earlier work this paper cites.
W. A. Hiscock and L. Lindblom, “Generic instabilities in first-order dissipative relativistic fluid theories,” Phys. Rev. D
1985
Earlier work this paper cites.
L. Landau and E. Lifshitz, “Fluid Mechanics,” Vol. 6, 2nd Edition, 1987
1987
Earlier work this paper cites.
G. Policastro, D. T. Son, and A. O. Starinets, “The Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma,” Phys. Rev. Lett
2001
Earlier work this paper cites.
L. Alberte and A. Nicolis, “Spontaneously broken boosts and the Goldstone continuum,” arXiv:2001.06024 [hep-th]
Original
2001
Earlier work this paper cites.
J. Toner, Y. Tu, and S. Ramaswamy, “Hydrodynamics and phases of flocks,” Annals of Physics
2005
Earlier work this paper cites.
S. Hollands, A. Ishibashi, and D. Marolf, “Counter-term charges generate bulk symmetries,” Phys.Rev
2005
Earlier work this paper cites.
S. Sachdev, “Quantum phase transitions,” Handbook of Magnetism and Advanced Magnetic Materials
2007
Earlier work this paper cites.
G. Bertoldi, B. A. Burrington, and A. Peet, “Black Holes in asymptotically Lifshitz spacetimes with arbitrary critical exponent,” Phys.Rev
Original
2009
Earlier work this paper cites.
G. Bertoldi, B. A. Burrington, and A. W. Peet, “Thermodynamics of black branes in asymptotically Lifshitz spacetimes,” Phys.Rev
Original
2009
Earlier work this paper cites.
U. H. Danielsson and L. Thorlacius, “Black holes in asymptotically Lifshitz spacetime,” JHEP
Original
2009
Earlier work this paper cites.
M. Martinez and M. Strickland, “Dissipative Dynamics of Highly Anisotropic Systems,” Nucl. Phys
Original
2010
Earlier work this paper cites.

Similar

W. Florkowski and R. Ryblewski, “Highly-anisotropic and strongly-dissipative hydrodynamics for early stages of relativistic heavy-ion collisions,” Phys. Rev
Original
2011
Cited alongside, same era.
J. Tarrio and S. Vandoren, “Black holes and black branes in Lifshitz spacetimes,” JHEP
Original
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Then

J. Hartong and N. A. Obers, “Hořava-Lifshitz gravity from dynamical Newton-Cartan geometry,” JHEP
Original
2015
Later among the works it cites.
J. Hartong, “Gauging the Carroll Algebra and Ultra-Relativistic Gravity,” JHEP
Original
2015
Later among the works it cites.
W. Sybesma and S. Vandoren, “Lifshitz quasinormal modes and relaxation from holography,” JHEP
Original
2015
Later among the works it cites.
B. Goutéraux, E. Kiritsis, and W.-J. Li, “Effective holographic theories of momentum relaxation and violation of conductivity bound,” JHEP
Original
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Later among the works it cites.
J. Hartong, N. A. Obers, and M. Sanchioni, “Lifshitz Hydrodynamics from Lifshitz Black Branes with Linear Momentum,” JHEP

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2020

Non-Boost Invariant Fluid Dynamics

de Boer, Jan, Hartong, Jelle, Have, Emil et al.

Understand

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.

Built on

M. Garbiso and M. Kaminski, “Dispersion relations in non-relativistic two-dimensional materials from quasinormal modes in Hǒrava Gravity,” JHEP
Original
1905
Earlier work this paper cites.
D. Fernández, A. Rajagopal, and L. Thorlacius, “Non-equilibrium steady states in quantum critical systems with Lifshitz scaling,” JHEP
Original
1909
Earlier work this paper cites.
I. Novak, J. Sonner, and B. Withers, “Hydrodynamics without boosts,” arXiv:1911.02578 [hep-th]
Original
1911
Earlier work this paper cites.
N. Poovuttikul and W. Sybesma, “First order non-Lorentzian fluids, entropy production and linear instabilities,” arXiv:1911.00010 [hep-th]
Original
1911
Earlier work this paper cites.
J. Armas, J. Hartong, E. Have, B. F. Nielsen, and N. A. Obers, “Newton-Cartan Submanifolds and Fluid Membranes,” arXiv:1912.01613 [hep-th]
Original
1912
Earlier work this paper cites.
L. Onsager, “Reciprocal relations in irreversible processes. I,” Phys. Rev
1931
Earlier work this paper cites.
L. Onsager, “Reciprocal relations in irreversible processes. ii.,” Phys. Rev
1931
Earlier work this paper cites.
New York: Benjamin, 1968
R. Penrose, Structure of space-time in · 1968
Earlier work this paper cites.
R. M. Hornreich, M. Luban, and S. Shtrikman, “Critical behavior at the onset of k → \stackrel{{\scriptstyle\rightarrow}}{{\mathrm{k}}} -space instability on the λ \lambda line,” Phys. Rev. Lett
1975
Earlier work this paper cites.
W. A. Hiscock and L. Lindblom, “Generic instabilities in first-order dissipative relativistic fluid theories,” Phys. Rev. D
1985
Earlier work this paper cites.
L. Landau and E. Lifshitz, “Fluid Mechanics,” Vol. 6, 2nd Edition, 1987
1987
Earlier work this paper cites.
G. Policastro, D. T. Son, and A. O. Starinets, “The Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma,” Phys. Rev. Lett
2001
Earlier work this paper cites.
L. Alberte and A. Nicolis, “Spontaneously broken boosts and the Goldstone continuum,” arXiv:2001.06024 [hep-th]
Original
2001
Earlier work this paper cites.
J. Toner, Y. Tu, and S. Ramaswamy, “Hydrodynamics and phases of flocks,” Annals of Physics
2005
Earlier work this paper cites.
S. Hollands, A. Ishibashi, and D. Marolf, “Counter-term charges generate bulk symmetries,” Phys.Rev
2005
Earlier work this paper cites.
S. Sachdev, “Quantum phase transitions,” Handbook of Magnetism and Advanced Magnetic Materials
2007
Earlier work this paper cites.
G. Bertoldi, B. A. Burrington, and A. Peet, “Black Holes in asymptotically Lifshitz spacetimes with arbitrary critical exponent,” Phys.Rev
Original
2009
Earlier work this paper cites.
G. Bertoldi, B. A. Burrington, and A. W. Peet, “Thermodynamics of black branes in asymptotically Lifshitz spacetimes,” Phys.Rev
Original
2009
Earlier work this paper cites.
U. H. Danielsson and L. Thorlacius, “Black holes in asymptotically Lifshitz spacetime,” JHEP
Original
2009
Earlier work this paper cites.
M. Martinez and M. Strickland, “Dissipative Dynamics of Highly Anisotropic Systems,” Nucl. Phys
Original
2010
Earlier work this paper cites.

Similar

W. Florkowski and R. Ryblewski, “Highly-anisotropic and strongly-dissipative hydrodynamics for early stages of relativistic heavy-ion collisions,” Phys. Rev
Original
2011
Cited alongside, same era.
J. Tarrio and S. Vandoren, “Black holes and black branes in Lifshitz spacetimes,” JHEP
Original
2011
Cited alongside, same era.
R. Andringa, E. Bergshoeff, S. Panda, and M. de Roo, “Newtonian Gravity and the Bargmann Algebra,” Class.Quant.Grav
Original
2011
Cited alongside, same era.
P. Kovtun, “Lectures on hydrodynamic fluctuations in relativistic theories,” J. Phys
Original
2012
Cited alongside, same era.
N. Banerjee, J. Bhattacharya, S. Bhattacharyya, S. Jain, S. Minwalla, and T. Sharma, “Constraints on Fluid Dynamics from Equilibrium Partition Functions,” JHEP

Then

J. Hartong and N. A. Obers, “Hořava-Lifshitz gravity from dynamical Newton-Cartan geometry,” JHEP
Original
2015
Later among the works it cites.
J. Hartong, “Gauging the Carroll Algebra and Ultra-Relativistic Gravity,” JHEP
Original
2015
Later among the works it cites.
W. Sybesma and S. Vandoren, “Lifshitz quasinormal modes and relaxation from holography,” JHEP
Original
2015
Later among the works it cites.
B. Goutéraux, E. Kiritsis, and W.-J. Li, “Effective holographic theories of momentum relaxation and violation of conductivity bound,” JHEP
Original
2016
Later among the works it cites.
J. Hartong, N. A. Obers, and M. Sanchioni, “Lifshitz Hydrodynamics from Lifshitz Black Branes with Linear Momentum,” JHEP

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Original

2012

Cited alongside, same era.

K. Jensen, M. Kaminski, P. Kovtun, R. Meyer, A. Ritz, and A. Yarom, “Towards hydrodynamics without an entropy current,” Phys. Rev. Lett

Original

2012

Cited alongside, same era.

C. Hoyos, B. S. Kim, and Y. Oz, “Lifshitz Hydrodynamics,” JHEP

Original

2013

Cited alongside, same era.

J. Bhattacharya, S. Bhattacharyya, and M. Rangamani, “Non-dissipative hydrodynamics: Effective actions versus entropy current,” JHEP

Original

2013

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C. Hoyos, B. S. Kim, and Y. Oz, “Lifshitz Field Theories at Non-Zero Temperature, Hydrodynamics and Gravity,” JHEP

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2014

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H. Watanabe and H. Murayama, “Nambu-Goldstone bosons with fractional-power dispersion relations,” Phys. Rev

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Original

2016