Multipole expansion of gravitational waves: from harmonic to Bondi coordinates

0554704 - FZÚ 2022 RIV US eng J - Journal Article
Blanchet, L. - Compere, G. - Faye, G. - Oliveri, Roberto - Seraj, A.
Multipole expansion of gravitational waves: from harmonic to Bondi coordinates.
Journal of High Energy Physics. Roč. 2021, č. 2 (2021), č. článku 29. ISSN 1029-8479. E-ISSN 1029-8479
R&D Projects: GA MŠMT EF15_003/0000437
Grant - others:OP VVV - CoGraDS(XE) CZ.02.1.01/0.0/0.0/15_003/0000437
Institutional support: RVO:68378271
Keywords : classical theories of gravity * space-time symmetries * expansion: multipole
OECD category: Particles and field physics
Impact factor: 6.376, year: 2021
Method of publishing: Open access

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.
Permanent Link: http://hdl.handle.net/11104/0329366