Multipole expansion of gravitational waves: memory effects and Bondi aspects
Abstract In our previous work, we proposed an algorithm to transform the metric of an isolated matter source in the multipolar post-Minkowskian approximation in harmonic (de Donder) gauge to the Newman-Unti gauge. We then applied this algorithm at linear order and for specific quadratic interactions...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-07-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP07(2023)123 |
| _version_ | 1797647507411435520 |
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| author | Luc Blanchet Geoffrey Compère Guillaume Faye Roberto Oliveri Ali Seraj |
| author_facet | Luc Blanchet Geoffrey Compère Guillaume Faye Roberto Oliveri Ali Seraj |
| author_sort | Luc Blanchet |
| collection | DOAJ |
| description | Abstract In our previous work, we proposed an algorithm to transform the metric of an isolated matter source in the multipolar post-Minkowskian approximation in harmonic (de Donder) gauge to the Newman-Unti gauge. We then applied this algorithm at linear order and for specific quadratic interactions known as quadratic tail terms. In the present work, we extend this analysis to quadratic interactions associated with the coupling of two mass quadrupole moments, including both instantaneous and hereditary terms. Our main result is the derivation of the metric in Newman-Unti and Bondi gauges with complete quadrupole-quadrupole interactions. We rederive the displacement memory effect and provide expressions for all Bondi aspects and dressed Bondi aspects relevant to the study of leading and subleading memory effects. Then we obtain the Newman-Penrose charges, the BMS charges as well as the second and third order celestial charges defined from the known second order and novel third order dressed Bondi aspects for mass monopole-quadrupole and quadrupole-quadrupole interactions. |
| first_indexed | 2024-03-11T15:18:32Z |
| format | Article |
| id | doaj.art-c63e3d4bd96f49578c4125fc6f418872 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-11T15:18:32Z |
| publishDate | 2023-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-c63e3d4bd96f49578c4125fc6f4188722023-10-29T12:07:57ZengSpringerOpenJournal of High Energy Physics1029-84792023-07-012023714010.1007/JHEP07(2023)123Multipole expansion of gravitational waves: memory effects and Bondi aspectsLuc Blanchet0Geoffrey Compère1Guillaume Faye2Roberto Oliveri3Ali Seraj4𝒢ℝεℂ𝒪, Institut d’Astrophysique de Paris, UMR 7095, CNRS & Sorbonne UniversitéUniversité Libre de Bruxelles, International Solvay Institutes𝒢ℝεℂ𝒪, Institut d’Astrophysique de Paris, UMR 7095, CNRS & Sorbonne UniversitéLUTH, Laboratoire Univers et Théories, Observatoire de Paris, CNRS, Université PSL, Université Paris CitéSchool of Mathematical Sciences, Queen Mary University of LondonAbstract In our previous work, we proposed an algorithm to transform the metric of an isolated matter source in the multipolar post-Minkowskian approximation in harmonic (de Donder) gauge to the Newman-Unti gauge. We then applied this algorithm at linear order and for specific quadratic interactions known as quadratic tail terms. In the present work, we extend this analysis to quadratic interactions associated with the coupling of two mass quadrupole moments, including both instantaneous and hereditary terms. Our main result is the derivation of the metric in Newman-Unti and Bondi gauges with complete quadrupole-quadrupole interactions. We rederive the displacement memory effect and provide expressions for all Bondi aspects and dressed Bondi aspects relevant to the study of leading and subleading memory effects. Then we obtain the Newman-Penrose charges, the BMS charges as well as the second and third order celestial charges defined from the known second order and novel third order dressed Bondi aspects for mass monopole-quadrupole and quadrupole-quadrupole interactions.https://doi.org/10.1007/JHEP07(2023)123Classical Theories of GravitySpace-Time Symmetries |
| spellingShingle | Luc Blanchet Geoffrey Compère Guillaume Faye Roberto Oliveri Ali Seraj Multipole expansion of gravitational waves: memory effects and Bondi aspects Journal of High Energy Physics Classical Theories of Gravity Space-Time Symmetries |
| title | Multipole expansion of gravitational waves: memory effects and Bondi aspects |
| title_full | Multipole expansion of gravitational waves: memory effects and Bondi aspects |
| title_fullStr | Multipole expansion of gravitational waves: memory effects and Bondi aspects |
| title_full_unstemmed | Multipole expansion of gravitational waves: memory effects and Bondi aspects |
| title_short | Multipole expansion of gravitational waves: memory effects and Bondi aspects |
| title_sort | multipole expansion of gravitational waves memory effects and bondi aspects |
| topic | Classical Theories of Gravity Space-Time Symmetries |
| url | https://doi.org/10.1007/JHEP07(2023)123 |
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