Asymptotic Limit of Null Hypersurfaces

Abstract

We study null hypersurfaces approaching null infinity in asymptotically flat spacetimes within the Bondi-Sachs gauge. The null Raychaudhuri constraint is shown to asymptote to the Bondi mass-loss formula, interpreted as a stress tensor conservation law. This stress tensor, the null Brown-York tensor, yields a Carrollian stress tensor at null infinity from the bulk. Furthermore, we establish that the canonical phase space on finite-distance null hypersurfaces asymptotes to the Ashtekar-Streubel phase space. This connection between finite-distance null physics and null infinity unveils promising insights.

v3, minor changes, version published in CQG

References in corpus (66)

• Holographic Derivation of Entanglement Entropy from AdS/CFT
• A Stress Tensor for Anti-de Sitter Gravity
• Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence
• Lecture Notes on Holographic Renormalization
• Nonlinear Fluid Dynamics from Gravity
• Generalized gravitational entropy
• Building up spacetime with quantum entanglement
• A Covariant Entropy Conjecture
• Holographic Renormalization
• Surface Terms as Counterterms in the AdS/CFT Correspondence
• On the Holographic Renormalization Group
• Aspects of the BMS/CFT correspondence
• BMS supertranslations and Weinberg's soft graviton theorem
• Reconstruction of Bulk Operators within the Entanglement Wedge in Gauge-Gravity Duality
• Asymptotic symmetries and subleading soft graviton theorem
• Gravitational action with null boundaries
• Conformal Carroll groups and BMS symmetry
• A Quantum Focussing Conjecture
• A 3+1 perspective on null hypersurfaces and isolated horizons
• Carrollian Perspective on Celestial Holography
• Averaged Null Energy Condition from Causality
• Gauging the Carroll Algebra and Ultra-Relativistic Gravity
• A 2D Stress Tensor for 4D Gravity
• Geometry of General Hypersurfaces in Spacetime: Junction Conditions
• Carrollian Physics at the Black Hole Horizon
• Energy conditions in general relativity and quantum field theory
• Superboost transitions, refraction memory and super-Lorentz charge algebra
• Flat holography and Carrollian fluids
• Carroll Structures, Null Geometry and Conformal Isometries
• Bridging Carrollian and Celestial Holography
• Extended Symmetries at the Black Hole Horizon
• Modular Hamiltonians on the null plane and the Markov property of the vacuum state
• The $\Lambda$-BMS${}_4$ Charge Algebra
• The $\Lambda$-BMS${}_4$ group of dS${}_4$ and new boundary conditions for AdS${}_4$
• The Weyl BMS group and Einstein's equations
• Symmetries and charges of general relativity at null boundaries
• A General Proof of the Quantum Null Energy Condition
• Generalized BMS charge algebra
• Null boundary phase space: slicings, news and memory
• Anomalies in gravitational charge algebras of null boundaries and black hole entropy
• Symmetries at Null Boundaries: Two and Three Dimensional Gravity Cases
• Carrollian conservation laws and Ricci-flat gravity
• Stress tensor correlators in three-dimensional gravity
• Holography and Entanglement in Flat Spacetime
• The partial Bondi gauge: Further enlarging the asymptotic structure of gravity
• Carrollian Approach to $1+3$D Flat Holography
• Gravity Degrees of Freedom on a Null Surface
• New boundary variables for classical and quantum gravity on a null surface
• Two-dimensional fluids and their holographic duals
• Null Conservation Laws for Gravity
• A general framework for gravitational charges and holographic renormalization
• A $d$-Dimensional Stress Tensor for Mink${}_{d+2}$ Gravity
• Carrollian hydrodynamics from symmetries
• Swing surfaces and holographic entanglement beyond AdS/CFT
• Non-linear black hole dynamics and Carrollian fluids
• Null Surface Thermodynamics
• The partial Bondi gauge: Gauge fixings and asymptotic charges
• Asymptotic Charges Cannot Be Measured in Finite Time
• Hydro & Thermo Dynamics at Causal Boundaries, Examples in 3d Gravity
• Quantum Null Geometry and Gravity
• Renormalization of conformal infinity as a stretched horizon
• Area, Entanglement Entropy and Supertranslations at Null Infinity
• The Poisson bracket on free null initial data for gravity
• On Symplectic Form for Null Boundary Phase Space
• Null Infinity and Horizons: A New Approach to Fluxes and Charges
• Fluid-gravity correspondence and causal first-order relativistic viscous hydrodynamics

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