Essentials of Blackfold Dynamics

Abstract

We develop and significantly generalize the effective worldvolume theory for higher-dimensional black holes recently proposed by the authors. The theory, which regards the black hole as a black brane curved into a submanifold of a background spacetime -a blackfold-, can be formulated in terms of an effective fluid that lives on a dynamical worldvolume. Thus the blackfold equations split into intrinsic (fluid-dynamical) equations, and extrinsic (generalized geodesic embedding) equations. The intrinsic equations can be easily solved for equilibrium configurations, thus providing an efficient formalism for the approximate construction of novel stationary black holes. Furthermore, it is possible to study time evolution. In particular, the long-wavelength component of the Gregory-Laflamme instability of black branes is obtained as a sound-mode instability of the effective fluid. We also discuss action principles, connections to black hole thermodynamics, and other consequences and possible extensions of the approach. Finally, we outline how the fluid/AdS-gravity correspondence is related to this formalism.

37 pages, v2 minor comments and a reference added

References in corpus (12)

• Nonlinear Fluid Dynamics from Gravity
• Near-horizon symmetries of extremal black holes
• A Higher Dimensional Stationary Rotating Black Hole Must be Axisymmetric
• Instabilities of Black Strings and Branes
• Classical Effective Field Theory and Caged Black Holes
• Les Houches Lectures on Effective Field Theories and Gravitational Radiation
• Black Holes as Lumps of Fluid
• Dynamics and Stability of Black Rings
• Black Rings in Taub-NUT and D0-D6 interactions
• Black Holes in Higher-Dimensional Gravity
• Phases of Higher Dimensional Black Holes
• Black holes and black strings in plane waves

Cited by in corpus (168)

• Effective Field Theories of Post-Newtonian Gravity: A comprehensive review
• Black Strings, Low Viscosity Fluids, and Violation of Cosmic Censorship
• The large D limit of General Relativity
• Thermodynamics and Instabilities of a Strongly Coupled Anisotropic Plasma
• The anisotropic N=4 super Yang-Mills plasma and its instabilities
• Numerical Methods for Finding Stationary Gravitational Solutions
• An instability of higher-dimensional rotating black holes
• Holographic thermalization, quasinormal modes and superradiance in Kerr-AdS
• Exotic Branes in String Theory
• End Point of Black Ring Instabilities and the Weak Cosmic Censorship Conjecture
• Turbulent Black Holes
• Effective theory of Black Holes in the 1/D expansion
• Higher-dimensional Rotating Charged Black Holes
• New Horizons for Black Holes and Branes
• Ultraspinning instability of rotating black holes
• CFT dual of the AdS Dirichlet problem: Fluid/Gravity on cut-off surfaces
• Black Strings from Minimal Geometric Deformation in a Variable Tension Brane-World
• Heating up the BIon
• Holographic QCD with Dynamical Flavors
• Hydro-elastic Complementarity in Black Branes at large D
• Blackfolds in Supergravity and String Theory
• Mass and Free Energy of Lovelock Black Holes
• Black Brane Viscosity and the Gregory-Laflamme Instability
• The Large D Limit of Einstein's Equations
• Brane Effective Actions, Kappa-Symmetry and Applications
• Phase Transitions, Inhomogeneous Horizons and Second-Order Hydrodynamics
• Holography of AdS vacuum bubbles
• Derivation of the blackfold effective theory
• The open string membrane paradigm with external electromagnetic fields
• Thermodynamics of the BMN matrix model at strong coupling
• Thermodynamics of the hot BIon
• Quasinormal modes of asymptotically flat rotating black holes
• AdS/Ricci-flat correspondence and the Gregory-Laflamme instability
• The Subleading Eikonal in Supergravity Theories
• The Fluid/Gravity Correspondence: a new perspective on the Membrane Paradigm
• How Fluids Bend: the Elastic Expansion for Higher-Dimensional Black Holes
• Blackfolds in (Anti)-de Sitter Backgrounds
• Comparing space+time decompositions in the post-Newtonian limit
• Holographic thermal field theory on curved spacetimes
• The Young Modulus of Black Strings and the Fine Structure of Blackfolds
• AdS/Ricci-flat correspondence
• Ultraspinning instability: the missing link
• Charged D3-D7 plasmas: novel solutions, extremality and stability issues
• Meta-stable non-extremal anti-branes
• Einstein-Gauss-Bonnet Black Strings at Large $D$
• Black Branes as Piezoelectrics
• Thermodynamics of rotating black holes and black rings: phase transitions and thermodynamic volume
• Dynamics of Phase Separation from Holography
• Rotating black holes and black bars at large D
• Thermal string probes in AdS and finite temperature Wilson loops
• Ultraspinning instability of anti-de Sitter black holes
• M2-M5 blackfold funnels
• Multi-black rings and the phase diagram of higher-dimensional black holes
• Energy extraction from boosted black holes: Penrose process, jets, and the membrane at infinity
• Crossing a large-$N$ phase transition at finite volume
• Wilson Surface Central Charge from Holographic Entanglement Entropy
• Effective hydrodynamics of black D3-branes
• Heterotic Black Horizons
• An Action for and Hydrodynamics from the improved Large D membrane
• Lifshitz Hydrodynamics from Lifshitz Black Branes with Linear Momentum
• Forced Fluid Dynamics from Blackfolds in General Supergravity Backgrounds
• Einstein's action and the harmonic gauge in terms of Newtonian fields
• 2-group global symmetries, hydrodynamics and holography
• Constraints on the effective fluid theory of stationary branes
• A General Black String and its Microscopics
• Extremal Black Hole Horizons
• Heterotic horizons, Monge-Ampere equation and del Pezzo surfaces
• Dressing the Post-Newtonian two-body problem and Classical Effective Field Theory
• Spacetime emergence via holographic RG flow from incompressible Navier-Stokes at the horizon
• Charged Black Rings at large D
• Electroelasticity of Charged Black Branes
• Surface transport in plasma-balls
• Holographic duals of evaporating black holes
• Quantum Hotspots: Mean Fields, Open EFTs, Nonlocality and Decoherence Near Black Holes
• Dissipative hydrodynamics with higher-form symmetry
• Quantum corrections to a finite temperature BIon
• Index theory and dynamical symmetry enhancement of M-horizons
• Entropy of the self-dual string soliton
• Thermal Giant Gravitons
• Index Theory and Supersymmetry of 5D Horizons
• Black Holes and Biophysical (Mem)-branes
• Self-similar critical geometries at horizon intersections and mergers
• Gravity duals of boundary cones
• (Non)-Dissipative Hydrodynamics on Embedded Surfaces
• The correspondence between rotating black holes and fundamental strings
• Qubit Heating Near a Hotspot
• Einstein-Gauss-Bonnet Black Rings at Large $D$
• Quantum Thermodynamics of an M2-M5 Brane System
• Black String Flow
• New Geometries for Black Hole Horizons
• Open/closed string duality and relativistic fluids
• Higher dimensional Numerical Relativity: code comparison
• Thermal DBI action for the D3-brane at weak and strong coupling
• Holographic approach of the spinodal instability to criticality
• No-dipole-hair theorem for higher-dimensional static black holes
• Black Rubber and the Non-linear Elastic Response of Scale Invariant Solids
• Gravitational Tension, Spacetime Pressure and Black Hole Volume
• The Born-Infeld/Gravity Correspondence
• The black M2-M5 ring intersection spins
• Black Probes of Schrödinger Spacetimes
• Stationary black holes: Large $D$ analysis
• Null-Wave Giant Gravitons from Thermal Spinning Brane Probes
• Relativistic Elasticity of Stationary Fluid Branes
• Black Branes in a Box: Hydrodynamics, Stability, and Criticality
• Black ringoids: spinning balanced black objects in $d\ge 5$ dimensions -- the codimension-two case
• Thermal transitions of metastable M-branes
• On actions for (entangling) surfaces and DCFTs
• Probing the Hydrodynamic Limit of (Super)gravity
• Phases of non-extremal multi-centered bound states
• Einstein-Yang-Mills-Chern-Simons solutions in D=2n+1 dimensions
• IIB black hole horizons with five-form flux and KT geometry
• Hydrodynamic Regimes of Spinning Black D3-Branes
• Black holes and black strings in plane waves
• Comments on the stability of the KPV state
• IIB black hole horizons with five-form flux and extended supersymmetry
• Static M-horizons
• Fluid/gravity correspondence: A nonconformal realization in compactified D4 branes
• Blackfolds, Plane Waves and Minimal Surfaces
• Tension of Confining Strings at Low Temperature
• Viscous Asymptotically Flat Reissner-Nordström Black Branes
• M-Horizons
• Vortices in (2+1)d Conformal Fluids
• Emergent Dark Matter in Late Time Universe on Holographic Screen
• Thermodynamics of a rotating black hole in minimal five-dimensional gauged supergravity
• String Theory in a Pinch: Resolving the Gregory-Laflamme Singularity
• Rotating elastic string loops in flat and black hole spacetimes: stability, cosmic censorship and the Penrose process
• On the microstructure of higher-dimensional Reissner-Nordström black holes in quantum regime
• Black Holes in Multi-Metric Gravity
• $d\ge 5$ magnetized static, balanced black holes with $S^2\times S^{d-4}$ event horizon topology
• A Black Ring with two Angular Momenta in Taub-NUT
• Supersymmetric Perturbations of the M5 brane
• On matched asymptotic expansions of backreacting metastable anti-branes
• DBI from Gravity
• Gravitating vortons as ring solitons in general relativity
• Black hole uniqueness theorems and new thermodynamic identities in eleven dimensional supergravity
• Evaporating black holes: constraints on anomalous emission mechanisms
• Bertotti-Robinson solutions of D=5 Einstein-Maxwell-Chern-Simons-Lambda theory
• Kaluza-Klein reduction of relativistic fluids and their gravity duals
• A perturbative no-hair of form fields for higher dimensional static black holes
• QCD3 with Two-Index Quarks, Mirror Symmetry and Fivebrane anti-BIons near Orientifolds
• Domain Structure of Black Hole Space-Times with a Cosmological Constant
• Instabilities of Thin Black Rings: Closing the Gap
• A New Class of Accelerating Black Hole Solutions
• The Flowing BIon
• Phase structure of a holographic double monolayer Dirac semimetal
• Dynamical entropy of charged black objects
• A Lagrangian for self-dual strings
• Particle dynamics in the Newtonian potential sourced by a homogeneous circular ring
• Fields in nonaffine bundles. III. Effective symmetries and conserved currents in strings and higher branes
• Holographic duals of the $\mathcal{N}=1$* gauge theory
• Chaotic particle motion around a homogeneous circular ring
• IIB horizons
• New asymptotically (Anti)-de Sitter black holes in (super)gravity
• Higher-group global symmetry and the bosonic M5 brane
• One-Dimensional Approximation of Viscous Flows
• Holographic Cosmology from a System of M2-M5 Branes
• Hydrodynamic and Rayleigh-Plateau instabilities of Q-strings
• The Eikonal Approximation and the Gravitational Dynamics of Binary Systems
• Holographic entanglement entropy in open-closed string duality
• The Surface Layers Dual to Hydrodynamic Boundaries
• Field theory for gravity at all scales
• Towards higher dimensional black rings
• Influence Through Mixing: Hotspots as Benchmarks for Basic Black-Hole Behaviour
• Surface Layers in the Gravity/Hydrodynamics Correspondence
• An effective theory for higher-dimensional black holes and applications to metastable antibranes
• Relativistic elastic membranes: rotating disks and Dyson spheres
• Anti-brane singularities as red herrings
• Exact Solutions and Black Hole Stability in Higher Dimensional Supergravity Theories