Carrollian Origins of Bjorken Flow

Abstract

Bjorken flow is among the simplest models of fluids moving near the speed of light ($c$) while Carroll symmetry arises as a contraction of Poincaré group when $c\to 0$. We show that Bjorken flow and its phenomenological approximations are completely captured by Carrollian fluids. Carrollian symmetries arise on generic null surfaces and a fluid moving at $c$ is restricted to such a surface, thereby naturally inheriting the symmetries. Carrollian hydrodynamics is thus not exotic, but rather ubiquitous, and provides a concrete framework for fluids moving at or near the speed of light.

7 pages, 2 figures. v2: Minor presentation changes. Matches version published in PRL

References in corpus (12)

• Nonlinear Fluid Dynamics from Gravity
• The BMS/GCA correspondence
• Conformal Carroll groups and BMS symmetry
• Carroll versus Newton and Galilei: two dual non-Einsteinian concepts of time
• Carrollian Perspective on Celestial Holography
• Flat Holography: Aspects of the dual field theory
• Entropy of three-dimensional asymptotically flat cosmological solutions
• Fractons, dipole symmetries and curved spacetime
• Viscous plasma evolution from gravity using AdS/CFT
• Magic Fermions: Carroll and Flat Bands
• Carrollian hydrodynamics from symmetries
• Non-linear black hole dynamics and Carrollian fluids

Cited by in corpus (19)

• Carroll black holes
• Carrollian fluids and spontaneous breaking of boost symmetry
• One-Loop Quantum Effects in Carroll Scalars
• Hydro & Thermo Dynamics at Causal Boundaries, Examples in 3d Gravity
• Heavy-ion collisions, Gubser flow, and Carroll hydrodynamics
• Carrollian Supersymmetry and SYK-like models
• Towards Carrollian quantization: renormalization of Carrollian electrodynamics
• Flat Bands and Compact Localised States: A Carrollian roadmap
• Carrollian limit of quadratic gravity
• Uniqueness of Galilean and Carrollian limits of gravitational theories and application to higher derivative gravity
• Quantization of Carrollian fermions
• Flat bands in condensed-matter systems -- perspective for magnetism and superconductivity
• Supersymmetric Carroll Galileons in Three Dimensions
• Hydrodynamics in the Carrollian regime
• Carroll black holes in (A)dS and their higher-derivative modifications
• Universal sectors of two-dimensional Carrollian CFTs
• Free-field construction of Carrollian $W_N$-algebras
• Rotating Carroll Black Holes: A No Go Theorem
• Strings near BTZ black holes: A Carrollian Chronicle