General post-Minkowskian expansion of time transfer functions
| العنوان: | General post-Minkowskian expansion of time transfer functions |
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| المؤلفون: | Pierre Teyssandier, Christophe Le Poncin-Lafitte |
| المساهمون: | Systèmes de Référence Temps Espace (SYRTE), Université Pierre et Marie Curie - Paris 6 (UPMC)-Institut national des sciences de l'Univers (INSU - CNRS)-Observatoire de Paris, Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS), Théorie et métrologie, Institut national des sciences de l'Univers (INSU - CNRS)-Observatoire de Paris, Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Institut national des sciences de l'Univers (INSU - CNRS)-Observatoire de Paris, Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS), Lohrmann Observatory, Dresden Technical University |
| المصدر: | Classical and Quantum Gravity Classical and Quantum Gravity, 2008, 25, pp.5020. ⟨10.1088/0264-9381/25/14/145020⟩ |
| بيانات النشر: | HAL CCSD, 2008. |
| سنة النشر: | 2008 |
| مصطلحات موضوعية: | Physics, Geodesics in general relativity, Physics and Astronomy (miscellaneous), Series (mathematics), Mathematical analysis, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), Function (mathematics), Coordinate time, General Relativity and Quantum Cosmology, Gravitational constant, Tests of general relativity, Spatial reference system, Time transfer, [PHYS.ASTR]Physics [physics]/Astrophysics [astro-ph] |
| الوصف: | Modeling most of the tests of general relativity requires to know the function relating light travel time to the coordinate time of reception and to the spatial coordinates of the emitter and the receiver. We call such a function the reception time transfer function. Of course, an emission time transfer function may as well be considered. We present here a recursive procedure enabling to expand each time transfer function into a perturbative series of ascending powers of the Newtonian gravitational constant $G$ (general post-Minkowskian expansion). Our method is self-sufficient, in the sense that neither the integration of null geodesic equations nor the determination of Synge's world function are necessary. To illustrate the method, the time transfer function of a three-parameter family of static, spherically symmetric metrics is derived within the post-linear approximation. Comment: 10 pages. Minor modifications. Accepted in Classical and Quantum Gravity |
| اللغة: | English |
| تدمد: | 0264-9381 1361-6382 |
| الوصول الحر: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c0abffe4b5677a48bc898f4b23288f3bTest https://hal.science/hal-03785793Test |
| حقوق: | OPEN |
| رقم الانضمام: | edsair.doi.dedup.....c0abffe4b5677a48bc898f4b23288f3b |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 02649381 13616382 |
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