The partial Bondi gauge: Gauge fixings and asymptotic charges

Abstract

In the companion paper [SciPost Phys. 13, 108 (2022), arXiv:2205.11401 [hep-th]] we have studied the solution space at null infinity for gravity in the partial Bondi gauge. This partial gauge enables to recover as particular cases and among other choices the Bondi-Sachs and Newman-Unti gauges, and to approach the question of the most general boundary conditions and asymptotic charges in gravity. Here we compute and study the asymptotic charges and their algebra in this partial Bondi gauge, by focusing on the flat case with a varying boundary metric $\delta q_{AB}\ne 0$. In addition to the super-translations, super-rotations, and Weyl transformations, we find two extra asymptotic symmetries associated with non-vanishing charges labelled by free functions in the solution space. These new symmetries arise from a weaker definition of the radial coordinate and switch on traces in the transverse metric. We also exhibit complete gauge fixing conditions in which these extra asymptotic symmetries and charges survive. As a byproduct of this calculation we obtain the charges in Newman-Unti gauge, in which one of these extra asymptotic charges is already non-vanishing. We also apply the formula for the charges in the partial Bondi gauge to the computation of the charges for the Kerr spacetime in Bondi coordinates.

36 pages

References in corpus (36)

• Asymptotic symmetries and subleading soft graviton theorem
• Setting the boundary free in AdS/CFT
• Surface charge algebra in gauge theories and thermodynamic integrability
• Carrollian Perspective on Celestial Holography
• New symmetries for the Gravitational S-matrix
• The Weyl BMS group and Einstein's equations
• Extended corner symmetry, charge bracket and Einstein's equations
• Edge modes of gravity -- II: Corner metric and Lorentz charges
• Null boundary phase space: slicings, news and memory
• Embeddings and Integrable Charges for Extended Corner Symmetry
• Isolated Surfaces and Symmetries of Gravity
• The partial Bondi gauge: Further enlarging the asymptotic structure of gravity
• Gravity from symmetry: Duality and impulsive waves
• A general framework for gravitational charges and holographic renormalization
• Conservation and Integrability in Lower-Dimensional Gravity
• Carrollian hydrodynamics from symmetries
• Universal Corner Symmetry and the Orbit Method for Gravity
• Multipole Expansion of Gravitational Waves: from Harmonic to Bondi coordinates
• Weyl Charges in Asymptotically Locally AdS${}_3$ Spacetimes
• Flat from anti-de Sitter
• Symmetries at Causal Boundaries in 2D and 3D Gravity
• 3d gravity in Bondi-Weyl gauge: charges, corners, and integrability
• The Wald-Zoupas prescription for asymptotic charges at null infinity in general relativity
• Chiral Massive News: Null Boundary Symmetries in Topologically Massive Gravity
• General null asymptotics and superrotation-compatible configuration spaces in $d\ge 4$
• Wald-Zoupas prescription with (soft) anomalies
• Multipole expansion of gravitational waves: memory effects and Bondi aspects
• Finite Charges from the Bulk Action
• Hydro & Thermo Dynamics at Causal Boundaries, Examples in 3d Gravity
• Matrix Quantization of Gravitational Edge Modes
• Quadrupolar radiation in de Sitter: Displacement memory and Bondi metric
• Symmetries and Charges in Weyl-Fefferman-Graham Gauge
• Dual diffeomorphisms and finite distance asymptotic symmetries in 3d gravity
• Radiative Asymptotic Symmetries of 3D Einstein-Maxwell Theory
• From Asymptotic Symmetries to the Corner Proposal
• Asymptotic symmetries at null infinity and local conformal properties of spin coefficients

Cited by in corpus (9)

• Symmetries of the gravitational scattering in the absence of peeling
• Renormalization of conformal infinity as a stretched horizon
• Celestial $w_{1+\infty }$ charges and the subleading structure of asymptotically-flat spacetimes
• Radiative Asymptotic Symmetries of 3D Einstein-Maxwell Theory
• An Infrared On-Shell Action and its Implications for Soft Charge Fluctuations in Asymptotically Flat Spacetimes
• Asymptotic Limit of Null Hypersurfaces
• On the classical limit of the (sub)${}^n$-leading soft graviton theorems in $D=4$ without deflection
• Twisting asymptotic symmetries and algebraically special vacuum solutions
• Field-dependent diffeomorphisms and the transformation of surface charges between gauges