Covariant Galilean versus Carrollian hydrodynamics from relativistic fluids

@article{Ciambelli2018CovariantGV,
  title={Covariant Galilean versus Carrollian hydrodynamics from relativistic fluids},
  author={Luca Ciambelli and Charles Marteau and Anastasios C. Petkou and P Marios Petropoulos and Konstantinos Siampos},
  journal={Classical and Quantum Gravity},
  year={2018},
  volume={35}
}
We provide the set of equations for non-relativistic fluid dynamics on arbitrary, possibly time-dependent spaces, in general coordinates. These equations are fully covariant under either local Galilean or local Carrollian transformations, and are obtained from standard relativistic hydrodynamics in the limit of infinite or vanishing velocity of light. All dissipative phenomena such as friction and heat conduction are included in our description. Part of our work consists in designing the… 

Effective field theory for hydrodynamics without boosts

We formulate the Schwinger-Keldysh effective field theory of hydrodynamics without boost symmetry. This includes a spacetime covariant formulation of classical hydrodynamics without boosts with an

Carrollian hydrodynamics from symmetries

In this work, we revisit Carrollian hydrodynamics, a type of non-Lorentzian hydrodynamics which has recently gained increasing attentions due to its underlying connection with dynamics of spacetime

Relativistic fluids, hydrodynamic frames and their Galilean versus Carrollian avatars

We comprehensively study Galilean and Carrollian hydrodynamics on arbitrary backgrounds, in the presence of a matter/charge conserved current. For this purpose, we follow two distinct and

Ju l 2 01 9 Two-dimensional fluids and their holographic duals

We describe the dynamics of two-dimensional relativistic and Carrollian fluids. These are mapped holographically to three-dimensional locally anti-de Sitter and locally Minkowski spacetimes,

Flat holography and Carrollian fluids

We show that a holographic description of four-dimensional asymptotically locally flat spacetimes is reached smoothly from the zero-cosmological-constant limit of anti-de Sitter holography. To this

Carrollian conservation laws and Ricci-flat gravity

We construct the Carrollian equivalent of the relativistic energy–momentum tensor, based on variation of the action with respect to the elementary fields of the Carrollian geometry. We prove that,

Flat holography and Carrollian fluids

A bstractWe show that a holographic description of four-dimensional asymptotically locally flat spacetimes is reached smoothly from the zero-cosmological-constant limit of anti-de Sitter holography.

Carroll Expansion of General Relativity

We study the small speed of light expansion of general relativity, utilizing the modern perspective on non-Lorentzian geometry. This is an expansion around the ultra-local Carroll limit, in which

Interacting conformal Carrollian theories: Cues from electrodynamics

We construct the free Lagrangian of the magnetic sector of Carrollian electrodynamics, which surprisingly, is not obtainable as an ultra-relativistic limit of Maxwellian Electrodynamics. The
...

References

SHOWING 1-10 OF 46 REFERENCES

Fields and fluids on curved non-relativistic spacetimes

A bstractWe consider non-relativistic curved geometries and argue that the background structure should be generalized from that considered in previous works. In this approach the derivative operator

Aspects of hot Galilean field theory

A bstractWe reconsider general aspects of Galilean-invariant thermal field theory. Using the proposal of our companion paper, we recast non-relativistic hydrodynamics in a manifestly covariant way

Flat holography and Carrollian fluids

A bstractWe show that a holographic description of four-dimensional asymptotically locally flat spacetimes is reached smoothly from the zero-cosmological-constant limit of anti-de Sitter holography.

The Robinson-Trautman spacetime and its holographic fluid

We discuss the holographic reconstruction of four-dimensional asymptotically anti-de Sitter Robinson-Trautman spacetime from boundary data. We use for that a resummed version of the derivative

Revisiting non-relativistic limits

A bstractWe show that the full spurionic symmetry of Galilean-invariant field theories can be deduced when those theories are the limits of relativistic parents. Under the limit, the non-relativistic

Conformal Nonlinear Fluid Dynamics from Gravity in Arbitrary Dimensions

We generalize recent work to construct a map from the conformal Navier Stokes equations with holographically determined transport coefficients, in d spacetime dimensions, to the set of asymptotically

New Developments in Relativistic Viscous Hydrodynamics

Starting with a brief introduction into the basics of relativistic fluid dynamics, I discuss our current knowledge of a relativistic theory of fluid dynamics in the presence of (mostly shear)

Entropy current for non-relativistic fluid

A bstractWe study transport properties of a parity-odd, non-relativistic charged fluid in presence of background electric and magnetic fields. To obtain stress tensor and charged current for the

Perfect fluids

We present a systematic treatment of perfect fluids with translation and rotation symmetry, which is also applicable in the absence of any type of boost symmetry. It involves introducing a fluid

Gauging the Carroll algebra and ultra-relativistic gravity

A bstractIt is well known that the geometrical framework of Riemannian geometry that underlies general relativity and its torsionful extension to Riemann-Cartan geometry can be obtained from a