2017/11/30 by G. Compère, Geoffrey Compère, R. Oliveri +3 · 45 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Fast multipole method #Gravitation #Mathematical physics #Multipole expansion #Noether's theorem #Physics #Pulsars and Gravitational Waves Research #Quantum mechanics #Spherical multipole moments #astro-ph.HE #gr-qc #hep-th
paper · pdf · doi:10.1007/jhep05(2018)054
published in Journal of High Energy Physics 2018(5) (Springer Nature) · v1: 22 pages + 13 pages of appendices, 1 figure; v2: published version in JHEP
openalex publication_date 2018/05/01 · arxiv created 2018/05/10 · arxiv updated 2018/05/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A bstract We define the mass and current multipole moments for an arbitrary theory of gravity in terms of canonical Noether charges associated with specific residual transformations in canonical harmonic gauge, which we call multipole symmetries. We show that our definition exactly matches Thorne’s mass and current multipole moments in Einstein gravity, which are defined in terms of metric components. For radiative configurations, the total multipole charges — including the contributions from the source and the radiation — are given by surface charges at spatial infinity, while the source multipole moments are naturally identified by surface integrals in the near-zone or, alternatively, from a regularization of the Noether charges at null infinity. The conservation of total multipole charges is used to derive the variation of source multipole moments in the near-zone in terms of the flux of multipole charges at null infinity.