ON THE POST-LINEAR QUADRUPOLE-QUADRUPOLE METRIC
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 fou...
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| Format: | Article |
| Language: | English |
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Universidad de Costa Rica
2017-07-01
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| Series: | Revista de Matemática: Teoría y Aplicaciones |
| Subjects: | |
| Online Access: | https://revistas.ucr.ac.cr/index.php/matematica/article/view/29856 |
| _version_ | 1797762775176445952 |
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| author | FRANCISCO FRUTOS ALFARO MICHAEL SOFFEL |
| author_facet | FRANCISCO FRUTOS ALFARO MICHAEL SOFFEL |
| author_sort | FRANCISCO FRUTOS ALFARO |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-12T19:33:17Z |
| format | Article |
| id | doaj.art-37d6427718a74dc18b8e674d0e650c40 |
| institution | Directory Open Access Journal |
| issn | 2215-3373 |
| language | English |
| last_indexed | 2024-03-12T19:33:17Z |
| publishDate | 2017-07-01 |
| publisher | Universidad de Costa Rica |
| record_format | Article |
| series | Revista de Matemática: Teoría y Aplicaciones |
| spelling | doaj.art-37d6427718a74dc18b8e674d0e650c402023-08-02T04:21:12ZengUniversidad de Costa RicaRevista de Matemática: Teoría y Aplicaciones2215-33732017-07-0124223925510.15517/rmta.v24i2.2985625661ON THE POST-LINEAR QUADRUPOLE-QUADRUPOLE METRICFRANCISCO FRUTOS ALFARO0MICHAEL SOFFEL1School of Physics and Space Research Center, University of Costa Rica, San José, Costa RicaTechnical University Dresden and Lohrmann Observatory, Dresden, GermanyThe 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.https://revistas.ucr.ac.cr/index.php/matematica/article/view/29856general relativitysolutions of Einstein’s equationsapproximation proceduresweak fields |
| spellingShingle | FRANCISCO FRUTOS ALFARO MICHAEL SOFFEL ON THE POST-LINEAR QUADRUPOLE-QUADRUPOLE METRIC Revista de Matemática: Teoría y Aplicaciones general relativity solutions of Einstein’s equations approximation procedures weak fields |
| title | ON THE POST-LINEAR QUADRUPOLE-QUADRUPOLE METRIC |
| title_full | ON THE POST-LINEAR QUADRUPOLE-QUADRUPOLE METRIC |
| title_fullStr | ON THE POST-LINEAR QUADRUPOLE-QUADRUPOLE METRIC |
| title_full_unstemmed | ON THE POST-LINEAR QUADRUPOLE-QUADRUPOLE METRIC |
| title_short | ON THE POST-LINEAR QUADRUPOLE-QUADRUPOLE METRIC |
| title_sort | on the post linear quadrupole quadrupole metric |
| topic | general relativity solutions of Einstein’s equations approximation procedures weak fields |
| url | https://revistas.ucr.ac.cr/index.php/matematica/article/view/29856 |
| work_keys_str_mv | AT franciscofrutosalfaro onthepostlinearquadrupolequadrupolemetric AT michaelsoffel onthepostlinearquadrupolequadrupolemetric |