Carrollian hydrodynamics from symmetries
arXiv:2209.03328 · doi:10.1088/1361-6382/acb194
Abstract
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 near null boundaries, and we aim at exploring symmetries associated with conservation laws of Carrollian fluids. With an elaborate construction of Carroll geometries, we generalize the Randers-Papapetrou metric by incorporating the fluid velocity field and the sub-leading components of the metric into our considerations and we argue that these two additional fields are compulsory phase space variables in the derivation of Carrollian hydrodynamics from symmetries. We then present a new notion of symmetry, called the near-Carrollian diffeomorphism, and demonstrate that this symmetry consistently yields a complete set of Carrollian hydrodynamic equations. Furthermore, due to the presence of the new phase space fields, our results thus generalize those already presented in the previous literatures. Lastly, the Noether charges associated with the near-Carrollian diffeomorphism and their time evolutions are also discussed.
arXiv comment25 pages+appendices, 1 figure
References in corpus (59)
- Celestial Mechanics, Conformal Structures, and Gravitational Waves
- Conformal Carroll groups and BMS symmetry
- Carroll versus Newton and Galilei: two dual non-Einsteinian concepts of time
- Supertranslations and Superrotations at the Black Hole Horizon
- Carrollian Perspective on Celestial Holography
- Gauging the Carroll Algebra and Ultra-Relativistic Gravity
- Carrollian Physics at the Black Hole Horizon
- Flat holography and Carrollian fluids
- Scattering Amplitudes: Celestial and Carrollian
- Carroll Structures, Null Geometry and Conformal Isometries
- Conformal Carroll groups
- Carroll versus Galilei Gravity
- Extended Symmetries at the Black Hole Horizon
- Dynamics of Carroll Particles
- Fractons, dipole symmetries and curved spacetime
- Field Theories with Conformal Carrollian Symmetry
- Tensionless Strings and Galilean Conformal Algebra
- Symmetries and charges of general relativity at null boundaries
- Covariant Galilean versus Carrollian hydrodynamics from relativistic fluids
- Carroll Expansion of General Relativity
- Tensionless Strings from Worldsheet Symmetries
- Tachyon Condensates, Carrollian Contraction of Lorentz Group, and Fundamental Strings
- Null infinity, the BMS group and infrared issues
- Carroll symmetry of plane gravitational waves
- Carrollian conservation laws and Ricci-flat gravity
- Field Theories on Null Manifolds
- Brown-York charges at null boundaries
- Non-relativistic and Carrollian limits of Jackiw-Teitelboim gravity
- Two-dimensional fluids and their holographic duals
- Sub-subleading Soft Graviton Theorem from Asymptotic Einstein's Equations
- Magnetic Carrollian gravity from the Carroll algebra
- Limits of JT gravity
- Gravity from symmetry: Duality and impulsive waves
- Embedding Galilean and Carrollian geometries I. Gravitational waves
- Tensionless Superstrings: View from the Worldsheet
- Newton-Hooke/Carrollian expansions of (A)dS and Chern-Simons gravity
- Lie Algebra Expansions and Actions for Non-Relativistic Gravity
- Interacting Conformal Carrollian Theories: Cues from Electrodynamics
- Goldilocks Modes and the Three Scattering Bases
- Carroll covariant scalar fields in two dimensions
- Inhomogeneous Tensionless Superstrings
- Holographic Lorentz and Carroll Frames
- Planar Carrollean dynamics, and the Carroll quantum equation
- Gauges in Three-Dimensional Gravity and Holographic Fluids
- A Rindler Road to Carrollian Worldsheets
- Dynamical structure of Carrollian Electrodynamics
- Constructing Carrollian CFTs
- Near-horizon Carroll symmetry and black hole Love numbers
- Non-Expanding horizons: Multipoles and the Symmetry Group
- Carrollian and Non-relativistic Jackiw-Teitelboim Supergravity
- Carroll limit of four-dimensional gravity theories in the first order formalism
- Non-Lorentzian Chaos and Cosmological Holography
- Carroll versus Galilei from a Brane Perspective
- Lorentzian Snyder spacetimes and their Galilei and Carroll limits from projective geometry
- BMS Field Theories and Weyl Anomaly
- Hamiltonian form of `Carroll' gravity
- Carroll membranes
- Carrollian superconformal theories and super BMS
- Three-dimensional Maxwellian Carroll gravity theory and the cosmological constant
Cited by in corpus (24)
- Bridging Carrollian and Celestial Holography
- Magic Fermions: Carroll and Flat Bands
- Carrollian Origins of Bjorken Flow
- Non-linear black hole dynamics and Carrollian fluids
- Flat from anti-de Sitter
- Carrollian fluids and spontaneous breaking of boost symmetry
- The partial Bondi gauge: Gauge fixings and asymptotic charges
- Quantum Null Geometry and Gravity
- Heavy-ion collisions, Gubser flow, and Carroll hydrodynamics
- Renormalization of conformal infinity as a stretched horizon
- Carrollian Supersymmetry and SYK-like models
- Carrollian Yang-Mills Theory
- Fluid-gravity correspondence and causal first-order relativistic viscous hydrodynamics
- Migrating Carrollian particles on magnetized black hole horizons
- Radiation in Fluid/Gravity and the Flat Limit
- Quantization of Carrollian fermions
- Towards Quantizing Null p-branes: Light-Cone Gauge Analysis and Physical Hilbert Space
- Asymptotic Limit of Null Hypersurfaces
- One-loop partition function of gravity with leaky boundary conditions
- Supersymmetric Carroll Galileons in Three Dimensions
- Universal sectors of two-dimensional Carrollian CFTs
- Unique Carrollian manifolds emerging from Einstein spacetimes
- Sourced Carrollian Fluids Dual to Black Hole Horizons
- Rotating Carroll Black Holes: A No Go Theorem