T-Witts from the horizon

Abstract

Expanding around null hypersurfaces, such as generic Kerr black hole horizons, using co-rotating Kruskal-Israel-like coordinates we study the associated surface charges, their symmetries and the corresponding phase space within Einstein gravity. Our surface charges are not integrable in general. Their integrable part generates an algebra including superrotations and a BMS_3-type algebra that we dub "T-Witt algebra". The non-integrable part accounts for the flux passing through the null hypersurface. We put our results in the context of earlier constructions of near horizon symmetries, soft hair and of the program to semi-classically identify Kerr black hole microstates.

arXiv comment36pp, 1 fig, v2: added 2 refs

References in corpus (67)

• Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
• Black Hole Entropy from Near-Horizon Microstates
• Quantum Geometry and Black Hole Entropy
• The Stretched Horizon and Black Hole Complementarity
• The Kerr/CFT Correspondence
• Soft Hair on Black Holes
• General Laws of Black-Hole Dynamics
• On BMS Invariance of Gravitational Scattering
• A General Definition of "Conserved Quantities" in General Relativity and Other Theories of Gravity
• Aspects of the BMS/CFT correspondence
• Covariant theory of asymptotic symmetries, conservation laws and central charges
• Symmetries of asymptotically flat 4 dimensional spacetimes at null infinity revisited
• The Extreme Kerr Throat Geometry: A Vacuum Analog of AdS_2 x S^2
• Black Hole Entropy from Conformal Field Theory in Any Dimension
• BMS charge algebra
• Classical central extension for asymptotic symmetries at null infinity in three spacetime dimensions
• Superrotation Charge and Supertranslation Hair on Black Holes
• Dynamical Horizons: Energy, Angular Momentum, Fluxes and Balance Laws
• Supertranslations and Superrotations at the Black Hole Horizon
• Generic Isolated Horizons and their Applications
• The Statistical Mechanics of the (2+1)-Dimensional Black Hole
• Asymptotic Structure of Symmetry Reduced General Relativity
• Carrollian Physics at the Black Hole Horizon
• Soft Heisenberg hair on black holes in three dimensions
• Extended Symmetries at the Black Hole Horizon
• Spacetime structure near generic horizons and soft hair
• Black Hole Entropy and Soft Hair
• Edge states in Gravity and Black Hole Physics
• Symmetries and charges of general relativity at null boundaries
• Shaving off Black Hole Soft Hair
• Most general AdS_3 boundary conditions
• Symplectic and Killing Symmetries of AdS${}_3$ Gravity: Holographic vs Boundary Gravitons
• Most general flat space boundary conditions in three-dimensional Einstein gravity
• BMS Group at Spatial Infinity: the Hamiltonian (ADM) approach
• Soft Hair as a Soft Wig
• Soft hairy horizons in three spacetime dimensions
• Noether current from the surface term of gravitational action, Virasoro algebra and horizon entropy
• Near-Horizon Geometry and Warped Conformal Symmetry
• Black Hole Horizon Fluffs: Near Horizon Soft Hairs as Microstates of Three Dimensional Black Holes
• Black hole memory effect
• Black Hole evaporation: A Perspective from Loop Quantum Gravity
• Black hole unitarity and antipodal entanglement
• Field Theories on Null Manifolds
• Gravity Degrees of Freedom on a Null Surface
• Solution Phase Space and Conserved Charges: A General Formulation for Charges Associated with Exact Symmetries
• New boundary variables for classical and quantum gravity on a null surface
• Classical static final state of collapse with supertranslation memory
• BMS invariance and the membrane paradigm
• Horizon fluff, semi-classical black hole microstates - Log-corrections to BTZ entropy and black hole/particle correspondence
• Diffeomorphism on Horizon as an Asymptotic Isometry of Schwarzschild Black Hole
• Gravitational splitting at first order: Quantum information localization in gravity
• On the Membrane Paradigm and Spontaneous Breaking of Horizon BMS Symmetries
• Gravitational Black Hole Hair from Event Horizon Supertranslations
• Extensions of the asymptotic symmetry algebra of general relativity
• Edge State Quantization: Vector Fields in Rindler
• Near horizon dynamics of three dimensional black holes
• Warped Symmetries of the Kerr Black Hole
• On Rigidity of 3d Asymptotic Symmetry Algebras
• Symmetries, charges and conservation laws at causal diamonds in general relativity
• BMS4 Algebra, Its Stability and Deformations
• The black hole horizon as a dynamical system
• Implications of Superrotations
• Interpolating Between Asymptotic and Near Horizon Symmetries
• Symmetries at the black hole horizon
• Generating functional for gravitational null initial data
• Black hole entropy from non-proper gauge degrees of freedom: II. The charged vacuum capacitor
• Supertranslations and Holography near the Horizon of Schwarzschild Black Holes

Cited by in corpus (42)

• Bridging Carrollian and Celestial Holography
• The $\Lambda$-BMS${}_4$ Charge Algebra
• Extended corner symmetry, charge bracket and Einstein's equations
• Null boundary phase space: slicings, news and memory
• Isolated Surfaces and Symmetries of Gravity
• Anomalies in gravitational charge algebras of null boundaries and black hole entropy
• Symmetries at Null Boundaries: Two and Three Dimensional Gravity Cases
• Gravitational Edge Modes, Coadjoint Orbits, and Hydrodynamics
• A general framework for gravitational charges and holographic renormalization
• Charge Algebra in Al(A)dS${}_n$ Spacetimes
• Conservation and Integrability in Lower-Dimensional Gravity
• Holographic Lorentz and Carroll Frames
• Null Surface Thermodynamics
• Symmetries at Causal Boundaries in 2D and 3D Gravity
• 3d gravity in Bondi-Weyl gauge: charges, corners, and integrability
• Chiral Massive News: Null Boundary Symmetries in Topologically Massive Gravity
• The partial Bondi gauge: Gauge fixings and asymptotic charges
• Horizons 2020
• Quantum Null Geometry and Gravity
• Renormalization of conformal infinity as a stretched horizon
• Virasoro hair and entropy for axisymmetric Killing horizons
• Celestial $w_{1+\infty }$ charges and the subleading structure of asymptotically-flat spacetimes
• On Symplectic Form for Null Boundary Phase Space
• Symmetries and Charges in Weyl-Fefferman-Graham Gauge
• Near horizon gravitational charges
• Soft theorems in curved spacetime
• A generalization of the quadruple formula for the energy of gravitational radiation in de Sitter spacetime
• Quantum Mechanics of a Spherically Symmetric Causal Diamond in Minkowski Spacetime
• Soft gluon theorems in curved spacetime
• On the Curvature Invariants of the Massive Banados-Teitelboim-Zanelli Black Holes and Their Holographic Pictures
• Towards Quantizing Null p-branes: Light-Cone Gauge Analysis and Physical Hilbert Space
• Quantum Area Fluctuations from Gravitational Phase Space
• On the covariant formulation of gauge theories with boundaries
• One-loop partition function of gravity with leaky boundary conditions
• Soft theorems in de Sitter spacetime
• Null Surface Thermodynamics in Topologically Massive Gravity
• Near horizon linearized gravity and soft theorem
• Linearized gravity and soft graviton theorem in de Sitter spacetime
• Dynamical horizons and Super-Translation transitions of the horizon
• Covariant phase space with null boundaries
• Near-Horizon Symmetries of Local Black Holes in General Relativity
• All near-horizon symmetries of the Schwarzschild black hole in linearised gravity