REVIEW 9 cited by
Relativistic Fluids, Hydrodynamic Frames and their Galilean versus Carrollian Avatars
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Relativistic Fluids, Hydrodynamic Frames and their Galilean versus Carrollian Avatars
read the original abstract
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 complementary paths. The first is based on local invariance, be it Galilean or Carrollian diffeomorphism invariance, possibly accompanied by Weyl invariance. The second consists in analyzing the relativistic fluid equations at large or small speed of light, after choosing an adapted gauge, ADM-Zermelo for the former and Papapetrou-Randers for the latter. Unsurprisingly, the results agree, but the second approach is superior as it effortlessly captures more elaborate situations with multiple degrees of freedom. It furthermore allows to investigate the fate of hydrodynamic-frame invariance in the two limits at hand, and conclude that its breaking (in the Galilean) or its preservation (in the Carrollian) are fragile consequences of the behaviour of transport attributes at large or small $c$. Both methods do also agree on the doom of Noetherian currents generated in the relativistic theory by isometries: non-trivial currents are not always guaranteed in Newton-Cartan or Carroll spacetimes as a consequence of Galilean or Carrollian isometries. Comparison of Galilean and Carrollian fluid equations exhibits a striking but often superficial resemblance, which we comment in relation to black-hole horizon dynamics, awkwardly akin to Navier-Stokes equations. This congruity is authentic in one instance though and turns out then to describe Aristotelian dynamics, which is the last item in our agenda.
Forward citations
Cited by 9 Pith papers
-
Carrollian limit of NS-NS and Heterotic Supergravity
A finite Carrollian limit of NS-NS and heterotic supergravity is constructed by field expansion, including a gauge sector, a Green-Schwarz mechanism analysis, and a finite leading α' correction.
-
Carrollian limit of NS-NS and Heterotic Supergravity
Ultra-relativistic expansion plus dilaton scaling produces finite covariant Carrollian NS-NS and heterotic supergravity actions, with trivializable Green-Schwarz for the 1-form and finite leading Riem^{2} α' corrections.
-
Kinetic Theory of Carroll Hydrodynamics
A microscopic derivation of Carrollian fluid equations from a statistical mechanics of interacting instantonic branes, plus initial elements of Carrollian thermodynamics.
-
Kinetic Theory of Carroll Hydrodynamics
A kinetic theory of interacting instantonic branes yields a first-principles derivation of Carrollian fluid equations and initial elements of Carrollian thermodynamics.
-
A Twisted Origin for Magnetic Carroll Supersymmetry
Magnetic Carroll supersymmetry descends from a twisted relativistic parent rather than naive contraction, realized in 3D N=2 with vector multiplet action whose conformal extension matches global super-BMS4.
-
Carroll hydrodynamics with spin
Carroll hydrodynamics with spin is obtained as the c→0 limit of relativistic hydrodynamics with spin, extending the description of boost-invariant flows.
-
Radiation in Fluid/Gravity and the Flat Limit
Establishes a holographic link between bulk gravitational radiation and dissipative corrections plus entropy production in boundary fluids, then constructs Carrollian analogues and celestial observables in the flat limit.
-
Nonperfect Carrollian Fluids Through Holography
Bulk gravitational radiation, diagnosed by the Fernández-Álvarez–Senovilla criterion, is dual to dissipative (Carrollian) boundary-fluid data, with an entropy-flux law and a Robinson-Trautman worked example.
-
Aspects of Non-Relativistic Supersymmetric Theories
Discusses features of non-relativistic supersymmetric field theories from Galilean and Carrollian points of view to aid construction of electric and magnetic variants.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.