The mass quadrupole moment of compact binary systems at the fourth post-Newtonian order
| Autor: | Quentin Henry, Tanguy Marchand, François Larrouturou, Luc Blanchet, Guillaume Faye, Sylvain Marsat |
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| 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), AstroParticule et Cosmologie (APC (UMR_7164)), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Institut National de Physique Nucléaire et de Physique des Particules du CNRS (IN2P3)-Observatoire de Paris, Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Cité (UPCité), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-Université de Paris (UP) |
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
[PHYS]Physics [physics]
Physics Physics and Astronomy (miscellaneous) Field (physics) 010308 nuclear & particles physics Gravitational wave General relativity FOS: Physical sciences Binary number General Relativity and Quantum Cosmology (gr-qc) 01 natural sciences General Relativity and Quantum Cosmology Dimensional regularization Theoretical physics Regularization (physics) 0103 physical sciences Quadrupole [PHYS.GRQC]Physics [physics]/General Relativity and Quantum Cosmology [gr-qc] [PHYS.ASTR]Physics [physics]/Astrophysics [astro-ph] 010306 general physics Multipole expansion |
| Zdroj: | Class.Quant.Grav. Class.Quant.Grav., 2020, 37 (21), pp.215006. ⟨10.1088/1361-6382/ab9ce1⟩ Classical and Quantum Gravity Classical and Quantum Gravity, IOP Publishing, 2020, 37 (21), pp.215006. ⟨10.1088/1361-6382/ab9ce1⟩ |
| ISSN: | 0264-9381 1361-6382 |
| DOI: | 10.1088/1361-6382/ab9ce1⟩ |
| Popis: | The mass-type quadrupole moment of inspiralling compact binaries (without spins) is computed at the fourth post-Newtonian (4PN) approximation of general relativity. The multipole moments are defined by matching between the field in the exterior zone of the matter system and the PN field in the near zone, following the multipolar-post-Minkowskian (MPM)-PN formalism. The matching implies a specific regularization for handling infra-red (IR) divergences of the multipole moments at infinity, based on the Hadamard finite part procedure. On the other hand, the calculation entails ultra-violet (UV) divergences due to the modelling of compact objects by delta-functions, that are treated with dimensional regularization (DR). In future work we intend to systematically study the IR divergences by means of dimensional regularization as well. Our result constitutes an important step in the goal of obtaining the gravitational wave templates of inspiralling compact binary systems with 4PN/4.5PN accuracy. 56 pages |
| Databáze: | OpenAIRE |
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