Multipole expansion of gravitational waves: from harmonic to Bondi coordinates

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378271%3A_____%2F21%3A00554704" target="_blank" >RIV/68378271:_____/21:00554704 - isvavai.cz</a>

Výsledek na webu

<a href="http://hdl.handle.net/11104/0329366" target="_blank" >http://hdl.handle.net/11104/0329366</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/JHEP02(2021)029" target="_blank" >10.1007/JHEP02(2021)029</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Multipole expansion of gravitational waves: from harmonic to Bondi coordinates

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Multipole expansion of gravitational waves: from harmonic to Bondi coordinates

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10303 - Particles and field physics

Projekt

<a href="/cs/project/EF15_003%2F0000437" target="_blank" >EF15_003/0000437: Kosmologie, gravitace a temný sektor vesmíru</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2021

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Journal of High Energy Physics

ISSN

1029-8479

e-ISSN

1029-8479

Svazek periodika

2021

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

27

Strana od-do

29

Kód UT WoS článku

000616962000001

EID výsledku v databázi Scopus

2-s2.0-85100436363