A path integral with asymptotic boundary conditions produces the gravitational S-matrix and derives soft graviton theorems from extended BMS symmetry Ward identities.
Relaxing the Parity Conditions of Asymptotically Flat Gravity
4 Pith papers cite this work. Polarity classification is still indexing.
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abstract
Four-dimensional asymptotically flat spacetimes at spatial infinity are defined from first principles without imposing parity conditions or restrictions on the Weyl tensor. The Einstein-Hilbert action is shown to be a correct variational principle when it is supplemented by an anomalous counter-term which breaks asymptotic translation, supertranslation and logarithmic translation invariance. Poincar\'e transformations as well as supertranslations and logarithmic translations are associated with finite and conserved charges which represent the asymptotic symmetry group. Lorentz charges as well as logarithmic translations transform anomalously under a change of regulator. Lorentz charges are generally non-linear functionals of the asymptotic fields but reduce to well-known linear expressions when parity conditions hold. We also define a covariant phase space of asymptotically flat spacetimes with parity conditions but without restrictions on the Weyl tensor. In this phase space, the anomaly plays classically no dynamical role. Supertranslations are pure gauge and the asymptotic symmetry group is the expected Poincar\'e group.
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UNVERDICTED 4representative citing papers
A proposed definition of asymptotically flat spacetimes enables proofs of antipodal matching conditions at spatial infinity for dual mass, shear tails, and peeling, expressed as boundary conservation laws.
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 inhomogeneous wave equations.
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 Strominger conditions via discrete symmetry restriction.
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The gravitational S-matrix from the path integral: asymptotic symmetries and soft theorems
A path integral with asymptotic boundary conditions produces the gravitational S-matrix and derives soft graviton theorems from extended BMS symmetry Ward identities.
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A proof of conservation laws in gravitational scattering: tails and breaking of peeling
A proposed definition of asymptotically flat spacetimes enables proofs of antipodal matching conditions at spatial infinity for dual mass, shear tails, and peeling, expressed as boundary conservation laws.
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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 inhomogeneous wave equations.
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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 Strominger conditions via discrete symmetry restriction.