Non-linear black hole dynamics and Carrollian fluids

Abstract

The dynamics of black hole horizons has recently been linked to that of Carrollian fluids. This results in a dictionary between geometrical quantities and those of a fluid with unusual properties due its underlying Carrollian symmetries. In this work we explore this relation in dynamical settings with the interest of shedding light on either side by relevant observations. In particular: we discuss how the null surface where the Carrollian fluid evolves is affected by its behavior; that the fluid's equilibration properties are tied to teleological considerations; the connection of higher derivative contributions as both source of energy and dissipation for the fluid and the non-linear behavior of black holes. This latter point, connects with discussions of non-linear modes in the relaxation to equilibrium of perturbed black holes.

27 pages, 11 figures

References in corpus (10)

• Array Programming with NumPy
• Nonlinear Fluid Dynamics from Gravity
• Relativistic viscous hydrodynamics, conformal invariance, and holography
• Gravitational action with null boundaries
• Conformal Carroll groups and BMS symmetry
• Dynamics of Carroll Particles
• Viscous hydrodynamics relaxation time from AdS/CFT
• Turbulent Black Holes
• Carrollian hydrodynamics from symmetries
• Charges and Fluxes on (Perturbed) Non-expanding Horizons

Cited by in corpus (20)

• Spin dependence of black hole ringdown nonlinearities
• Carrollian Origins of Bjorken Flow
• Nonlinear ringdown at the black hole horizon
• Carrollian fluids and spontaneous breaking of boost symmetry
• Quantum Null Geometry and Gravity
• Heavy-ion collisions, Gubser flow, and Carroll hydrodynamics
• Carrollian Supersymmetry and SYK-like models
• Carrollian Yang-Mills Theory
• Fluid-gravity correspondence and causal first-order relativistic viscous hydrodynamics
• Carroll Hawking effect
• Carrollian limit of quadratic gravity
• Uniqueness of Galilean and Carrollian limits of gravitational theories and application to higher derivative gravity
• Radiation in Fluid/Gravity and the Flat Limit
• Quantization of Carrollian fermions
• Asymptotic Limit of Null Hypersurfaces
• Hydrodynamics in the Carrollian regime
• 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