Soft Hair on Black Holes

Abstract

It has recently been shown that BMS supertranslation symmetries imply an infinite number of conservation laws for all gravitational theories in asymptotically Minkowskian spacetimes. These laws require black holes to carry a large amount of soft ($i.e.$ zero-energy) supertranslation hair. The presence of a Maxwell field similarly implies soft electric hair. This paper gives an explicit description of soft hair in terms of soft gravitons or photons on the black hole horizon, and shows that complete information about their quantum state is stored on a holographic plate at the future boundary of the horizon. Charge conservation is used to give an infinite number of exact relations between the evaporation products of black holes which have different soft hair but are otherwise identical. It is further argued that soft hair which is spatially localized to much less than a Planck length cannot be excited in a physically realizable process, giving an effective number of soft degrees of freedom proportional to the horizon area in Planck units.

22 pages 2 figures

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• Gravitational waves in gauge theory gravity with a negative cosmological constant
• Large gravitons and near-horizon diffeomorphisms
• Note on soft photons and Faddeev-Jackiw symplectic reduction of quantum electrodynamics in the eikonal limit
• Universal sectors of two-dimensional Carrollian CFTs
• Large Gauge Symmetries of an Asymptotically de Sitter Horizon: An Extended First Law of Thermodynamics
• Soft gravitons as Goldstone modes of spontaneously broken asymptotic symmetries in de Sitter spacetimes
• Can the Near-Horizon Black Hole Memory be detected through Binary Inspirals?
• Entanglement harvesting in buckled honeycomb lattices by vacuum fluctuations in a microcavity
• Chern-Simons Holography: Boundary Conditions, Contractions and Double Extensions for a Journey Beyond Anti-de Sitter
• On the existence of topological dyons and dyonic black holes in anti-de Sitter Einstein-Yang-Mills theories with compact semisimple gauge groups
• 1/c deformations of AdS${}_3$ boundary conditions and the Dym hierarchy
• Quantum black holes as solvents
• Modification to the Hawking temperature of a dynamical black hole by a flow-induced supertranslation
• Fefferman-Graham and Bondi Gauges in the Fluid/Gravity Correspondence
• A self-consistency check for unitary propagation of Hawking quanta
• Black hole information recovery from gravitational waves
• Entanglement at the Soft-Hair Horizon
• Infrared Finite Scattering Theory in Quantum Field Theory and Quantum Gravity
• The classical dynamics of gauge theories in the deep infrared
• Covariant phase space with null boundaries
• A Lie algebra based approach to asymptotic symmetries in general relativity
• BMS Goldstone modes near the horizon of a Kerr black hole are thermal
• Celestial Holography
• Manifestation of Quantum Forces in Spacetime: Towards a General Theory of Quantum Forces
• Asymptotic charges for spin-1 and spin-2 fields at the critical sets of null infinity
• Conic Sections on the Sky: Shadows of Linearly Superrotated Black Holes
• Shock wave quantum memory in shocked detector
• Hawking Radiation As Stimulated Emission
• Landscape of Narain CFTs
• Non Local Global Symmetries of a Free Scalar Field in a Bounded Domain
• Using thermodynamics to learn gravitational wave physics
• Arnol'd cat map lattices
• Black hole information paradox without Hawking radiation
• Supertranslations at Spatial and Timelike Infinities in the First-Order Formalism
• Studies on Thin-shells and Thin-shell Wormholes
• Constrained field theories on Kerr backgrounds
• Correlation Redistribution by Causal Horizons
• Asymptotic Structure and Bondi-Metzner-Sachs group in General Relativity
• W-hairs of black holes in three dimensional spacetime
• A Note on the Near Horizon Charges for the Five Dimensional Myers-Perry Black Holes
• On the assumptions leading to the information loss paradox
• BMS in higher space-time dimensions and Non-relativistic BMS
• Lectures on the Bondi--Metzner--Sachs group and related topics in infrared physics
• Shaving off soft hairs and the black hole image memory effect
• The Emergence of Superconducting Systems in Anti-de Sitter Space
• Residual gauge theory for quanta of surface plasmons
• Representations of the Bondi-Metzner-Sachs group in three space-time dimensions in the Hilbert topology I. Determination of the representations
• Modification of a Lie-algebra-based approach and its application to asymptotic symmetries on a Killing horizon
• On the nature of the black hole information problem
• Gravitational memory meets astrophysical environments: exploring a new frontier through osculations
• Subleading soft radiation during scattering of dressed states in QED
• Conformal Invariance and Phase Transitions: Implications for Stable Black Hole Horizons?
• Hawking radiation of Dirac particles from soft-hairy black holes
• Deformed Schwarzschild horizons in second-order perturbation theory: mass, geometry, and teleology
• Hamiltonian BRST formalism for gauge fields on black hole spacetimes
• Poincaré asymptotic expansion in black hole theory
• All near-horizon symmetries of the Schwarzschild black hole in linearised gravity
• New constrained generalized Killing spinor field classes in warped flux compactifications
• Emergent gravity from patterns in natural numbers
• Non-local Geometry inside Lifshitz Horizon
• Information surfaces and overflow fields: a unitary evolution model based on the principle of information curvature scaling
• Maximally Chaotic Dynamical System of Infinite Dimensionality
• Dynamical Horizons and Black Hole Soft Hair
• Analogous BMS Symmetry in QED and Quantum Anomaly in Dirac and Weyl Semimetals
• Testing Hamiltonian Reduced QED
• News tensor on null hypersurfaces
• The information loss paradox
• Black Holes in String Theory
• Gravitational wave memory in wormhole spacetimes
• The integrability of Virasoro charges for axisymmetric Killing horizons
• Dyonic black holes in $\mathfrak{su}(\infty )$ anti-de Sitter Einstein-Yang-Mills theory, characterised by an infinite set of global charges
• Solving information loss paradox via Euclidean path integral
• Circumventing the black hole hair-loss problem
• Black holes and their horizons in semiclassical and modified theories of gravity
• A canonical bracket for open gravitational system
• Damping self-forces and Asymptotic Symmetries
• Near-Horizon Symmetries of Local Black Holes in General Relativity
• Braneworld-Klein-Gordon system in the framework of gravitational decoupling
• A 4D asymptotically flat rotating black hole solution including supertraslation correction
• Kerr/CFT from phase space formalism
• Counting Black Hole Microstates at Future Null Infinity
• Corrections to the Aretakis type behaviour of the metric due to an infalling particle