Multipole expansion of gravitational waves: from harmonic to Bondi coordinates

Autor: Ali Seraj, Luc Blanchet, Roberto Oliveri, Guillaume Faye, Geoffrey Compère
Přispěvatelé: Institut d'Astrophysique de Paris (IAP), Institut national des sciences de l'Univers (INSU - CNRS)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)
Rok vydání: 2021
Předmět:
High Energy Physics - Theory
Nuclear and High Energy Physics
Angular momentum
FOS: Physical sciences
General Relativity and Quantum Cosmology (gr-qc)
Symmetry group
angular momentum
expansion: multipole
01 natural sciences
General Relativity and Quantum Cosmology
0103 physical sciences
Radiative transfer
lcsh:Nuclear and particle physics. Atomic energy. Radioactivity
Boundary value problem
010306 general physics
Mathematical physics
Physics
current: multipole
[PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th]
010308 nuclear & particles physics
Gravitational wave
diffeomorphism
Space-Time Symmetries
gravitational radiation
boundary condition
Physique atomique et nucléaire
High Energy Physics - Theory (hep-th)
Metric (mathematics)
Quadrupole
moment: multipole
[PHYS.GRQC]Physics [physics]/General Relativity and Quantum Cosmology [gr-qc]
lcsh:QC770-798
Multipole expansion
Classical Theories of Gravity
Zdroj: The journal of high energy physics (Online), 2021 (2
Journal of High Energy Physics
Journal of High Energy Physics, Springer, 2021, 02, pp.029. ⟨10.1007/JHEP02(2021)029⟩
Journal of High Energy Physics, Vol 2021, Iss 2, Pp 1-27 (2021)
ISSN: 1029-8479
1126-6708
DOI: 10.1007/jhep02(2021)029
Popis: 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.
SCOPUS: ar.j
info:eu-repo/semantics/published
Databáze: OpenAIRE
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