Academic Journal
ON THE POST-LINEAR QUADRUPOLE-QUADRUPOLE METRIC
| العنوان: | ON THE POST-LINEAR QUADRUPOLE-QUADRUPOLE METRIC |
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| المؤلفون: | FRANCISCO FRUTOS ALFARO, MICHAEL SOFFEL |
| المصدر: | Revista de Matemática: Teoría y Aplicaciones, Vol 24, Iss 2, Pp 239-255 (2017) |
| بيانات النشر: | Universidad de Costa Rica, 2017. |
| سنة النشر: | 2017 |
| المجموعة: | LCC:Mathematics |
| مصطلحات موضوعية: | general relativity, solutions of Einstein’s equations, approximation procedures, weak fields, Mathematics, QA1-939 |
| الوصف: | The Hartle-Thorne metric defines a reliable spacetime for most astrophysical purposes, for instance simulations of slowly rotating stars. Solving the Einstein field equations, we added terms of second order in the quadrupole moment to its post-linear version in order to compare it with solutions found by Blanchet in the multi-polar post-Minkowskian framework. We first derived the extended Hartle-Thorne metric in harmonic coordinates and then showed agreement with the corresponding post-linear metric from Blanchet. We also found a coordinate transformation from the post-linear Erez- Rosen metric to our extended Hartle-Thorne spacetime. It is well known that the Hartle-Thorne solution can be smoothly matched with an interior perfect fluid solution with appropriate physical properties. A comparison among these solutions provides a validation of them. It is clear that in order to represent realistic solutions of self-gravitating (axially symmetric) matter distributions of perfect fluid, the quadrupole moment has to be included as a physical parameter. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English Spanish; Castilian |
| تدمد: | 2215-3373 |
| Relation: | https://revistas.ucr.ac.cr/index.php/matematica/article/view/29856; https://doaj.org/toc/2215-3373 |
| DOI: | 10.15517/rmta.v24i2.29856 |
| URL الوصول: | https://doaj.org/article/37d6427718a74dc18b8e674d0e650c40 |
| رقم الانضمام: | edsdoj.37d6427718a74dc18b8e674d0e650c40 |
| قاعدة البيانات: | Directory of Open Access Journals |
| تدمد: | 22153373 |
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| DOI: | 10.15517/rmta.v24i2.29856 |