BMS Group at Spatial Infinity: the Hamiltonian (ADM) approach
read the original abstract
New boundary conditions for asymptotically flat spacetimes are given at spatial infinity. These boundary conditions are invariant under the BMS group, which acts non trivially. The boundary conditions fulfill all standard consistency requirements: (i) they make the symplectic form finite; (ii) they contain the Schwarzchild solution, the Kerr solution and their Poincar\'e transforms, (iii) they make the Hamiltonian generators of the asymptotic symmetries integrable and well-defined (finite). The boundary conditions differ from the ones given earlier in the literature in the choice of the parity conditions. It is this different choice of parity conditions that makes the action of the BMS group non trivial. Our approach is purely Hamiltonian and off-shell throughout.
This paper has not been read by Pith yet.
Forward citations
Cited by 4 Pith papers
-
Scalar, vector and tensor fields on $dS_3$ with arbitrary sources: harmonic analysis and antipodal maps
Scalar, vector, and tensor spherical harmonics on dS3 are constructed with explicit antipodal relationships between past and future asymptotic data, even with sources, plus decomposition theorems for tensors obeying i...
-
Ti and Spi, Carrollian extended boundaries at timelike and spatial infinity
Defines Ti and Spi extended boundaries from asymptotic metric data in Ashtekar-Romano asymptotically flat spacetimes, equipping them with Carrollian geometries that canonically match asymptotic symmetries and realize ...
-
Carrollian Perspective on Celestial Holography
A 3d sourced conformal Carrollian field theory is proposed to holographically capture 4d flat gravity kinematics, with Ward identities matching 2d celestial CFT after relating operators.
-
Observing Massive Scattering from Null Infinity
Late-time Bondi mass aspect at future null infinity acts as a detector for massive radiation, with its in-in correlations relating to weighted sums of scattering cross sections.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.