Null boundary phase space: slicings, news and memory

Abstract

We construct the boundary phase space in $D$-dimensional Einstein gravity with a generic given co-dimension one null surface $\mathcal{N}$ as the boundary. The associated boundary symmetry algebra is a semi-direct sum of diffeomorphisms of $\mathcal{N}$ and Weyl rescalings. It is generated by $D$ towers of surface charges that are generic functions over $\mathcal{N}$. These surface charges can be rendered integrable for appropriate slicings of the phase space, provided there is no graviton flux through $\mathcal{N}$. In one particular slicing of this type, the charge algebra is the direct sum of the Heisenberg algebra and diffeomorphisms of the transverse space, ${\mathcal{N}}_v$ for any fixed value of the advanced time $v$. Finally, we introduce null surface expansion- and spin-memories, and discuss associated memory effects that encode the passage of gravitational waves through $\mathcal{N}$, imprinted in a change of the surface charges.

26 pages+appendices, references added, published version in JHEP

References in corpus (11)

• The Weyl BMS group and Einstein's equations
• Extended corner symmetry, charge bracket and Einstein's equations
• Isolated Surfaces and Symmetries of Gravity
• Brown-York charges at null boundaries
• Charge Algebra in Al(A)dS${}_n$ Spacetimes
• Conservation and Integrability in Lower-Dimensional Gravity
• 3d gravity in Bondi-Weyl gauge: charges, corners, and integrability
• Chiral Massive News: Null Boundary Symmetries in Topologically Massive Gravity
• Stress Tensor on Null Boundaries
• Towards causal patch physics in dS/CFT
• Displacement memory effect near the horizon of black holes

Cited by in corpus (58)

• Bridging Carrollian and Celestial Holography
• The partial Bondi gauge: Further enlarging the asymptotic structure of gravity
• Logarithmic supertranslations and supertranslation-invariant Lorentz charges
• Non-linear black hole dynamics and Carrollian fluids
• 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
• The partial Bondi gauge: Gauge fixings and asymptotic charges
• Wald-Zoupas prescription with (soft) anomalies
• Finite Charges from the Bulk Action
• Hydro & Thermo Dynamics at Causal Boundaries, Examples in 3d Gravity
• Quantum Null Geometry and Gravity
• Renormalization of conformal infinity as a stretched horizon
• Null Infinity as a Weakly Isolated Horizon
• Horizon Strings as 3d Black Hole Microstates
• Horizons and Null Infinity: A Fugue in 4 voices
• Dual Charges for AdS Spacetimes and the First Law of Black Hole Mechanics
• On Symplectic Form for Null Boundary Phase Space
• Celestial $w_{1+\infty }$ charges and the subleading structure of asymptotically-flat spacetimes
• Can we detect a supertranslated black hole?
• Symmetries and Charges in Weyl-Fefferman-Graham Gauge
• Angular momentum and memory effect
• Freelance Holography, Part I: Setting Boundary Conditions Free in Gauge/Gravity Correspondence
• Corner symmetry and quantum geometry
• Near horizon gravitational charges
• Soft theorems in curved spacetime
• Supersymmetrization of deformed BMS algebras
• Radiative Asymptotic Symmetries of 3D Einstein-Maxwell Theory
• Freelance Holography, Part II: Moving Boundary in Gauge/Gravity Correspondence
• Gauge Invariant Derivation of Zeroth and First Laws of Black Hole Thermodynamics
• Quantum Mechanics of a Spherically Symmetric Causal Diamond in Minkowski Spacetime
• Soft gluon theorems in curved spacetime
• Asymptotic Limit of Null Hypersurfaces
• Equivalences between 2D dilaton gravities, their asymptotic symmetries, and their holographic duals
• Quantum Area Fluctuations from Gravitational Phase Space
• Towards Quantizing Null p-branes: Light-Cone Gauge Analysis and Physical Hilbert Space
• One-loop partition function of gravity with leaky boundary conditions
• Null boundary gravitational charges from local Lorentz symmetries
• On the covariant formulation of gauge theories with boundaries
• Twisting asymptotic symmetries and algebraically special vacuum solutions
• Near horizon linearized gravity and soft theorem
• Field-dependent diffeomorphisms and the transformation of surface charges between gauges
• Null Surface Thermodynamics in Topologically Massive Gravity
• On the Charge Algebra of Causal Diamonds in Three Dimensional Gravity
• Linearized gravity and soft graviton theorem in de Sitter spacetime
• Iyer-Wald ambiguities and gauge covariance of Entropy current in Higher derivative theories of gravity
• Sourced Carrollian Fluids Dual to Black Hole Horizons
• Can the Near-Horizon Black Hole Memory be detected through Binary Inspirals?
• Boundary Conditions for Warped AdS${}_3$ in Quadratic Ensemble
• Null infinity as a Killing horizon
• Using thermodynamics to learn gravitational wave physics
• Null Strings Gauged and Reloaded, II: Consistent Classical Treatment of the Null Strings
• Gravitational null rays: Covariant Quantization and the Dressing Time
• Near-Horizon Symmetries of Local Black Holes in General Relativity
• News tensor on null hypersurfaces
• All near-horizon symmetries of the Schwarzschild black hole in linearised gravity
• Lectures on the Bondi--Metzner--Sachs group and related topics in infrared physics