Pith. sign in

REVIEW 5 cited by

Multipole Expansion of Gravitational Waves: from Harmonic to Bondi coordinates

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2011.10000 v2 pith:KZP5LTNS submitted 2020-11-19 gr-qc hep-th

Luc Blanchet , Geoffrey Compère , Guillaume Faye , Roberto Oliveri , Ali Seraj This is my paper
classification gr-qchep-th
keywords metriccoordinatessourcebondiexpansionharmonicmassmultipole
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

We transform the metric of an isolated matter source in the multipolar post-Minkowskian approximation from harmonic (de Donder) coordinates to radiative Newman-Unti (NU) coordinates. To linearized order, we obtain the NU metric as a functional of the mass and current multipole moments of the source, valid all-over the exterior region of the source. Imposing appropriate boundary conditions we recover the generalized Bondi-van der Burg-Metzner-Sachs residual symmetry group. To quadratic order, in the case of the mass-quadrupole interaction, we determine the contributions of gravitational-wave tails in the NU metric, and prove that the expansion of the metric in terms of the radius is regular to all orders. The mass and angular momentum aspects, as well as the Bondi shear, are read off from the metric. They are given by the radiative quadrupole moment including the tail terms.

Discussion (0). Sign in to comment.

Forward citations

Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. From spatial to null infinity: Connecting initial data to peeling

    gr-qc 2025-07 conditional novelty 7.0 of 10

    For asymptotically regular spacetimes, parity-time reversal symmetry of the leading and subleading initial data implies the Weyl scalars Psi2 and Psi1 peel at null infinity with rates 1/r^3 and 1/r^4.

  2. Quasi-Local Celestial Charges and Multipoles

    hep-th 2026-04 unverdicted novelty 6.0 of 10

    Explicit quasi-local formulae for celestial higher-spin charges and multipoles are given on finite 2-surfaces using higher-valence twistor solutions, with a phase-space derivation from self-dual gravity.

  3. Mixed-helicity bracket of celestial symmetries

    hep-th 2026-04 unverdicted novelty 6.0 of 10

    Restricting one helicity to the wedge sector and introducing shadow charges yields closed mixed-helicity algebras for all spins in gravity and gauge theory, plus dual mass BMS extensions and non-vanishing electromagne...

  4. Twisting asymptotically-flat spacetimes

    gr-qc 2025-11 conditional novelty 6.0 of 10

    Twisting asymptotically-flat spacetimes are brought into a generalized Bondi gauge with finite radial expansion, producing new flux-balance laws, Carroll-boost symmetries, and finite supertranslated Kerr–Taub–NUT metrics.

  5. GGI lectures on boundary and asymptotic symmetries

    hep-th 2025-12 conditional novelty 4.0 of 10

    A lecture-note review of boundary and asymptotic symmetries that re-derives the BMS group as the asymptotic symmetry group of Minkowski spacetime alone and constructs an integral Hamiltonian generator for scalar-field...

Pith tools