On relativistic multipole moments of stationary space–times

Among the known exact solutions of Einstein's vacuum field equations the Manko–Novikov and the Quevedo–Mashhoon metrics might be suitable ones for the description of the exterior gravitational field of some real non-collapsed body. A new proposal to represent such exterior field is the stationa...

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Detalles Bibliográficos
Autores principales: Frutos-Alfaro, Francisco, Soffel, Michael
Formato: Online Artículo Texto
Lenguaje:English
Publicado: The Royal Society Publishing 2018
Materias:
Physics
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6083682/
https://www.ncbi.nlm.nih.gov/pubmed/30109108
http://dx.doi.org/10.1098/rsos.180640
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author Frutos-Alfaro, Francisco
Soffel, Michael
author_facet Frutos-Alfaro, Francisco
Soffel, Michael
author_sort Frutos-Alfaro, Francisco
collection PubMed
description Among the known exact solutions of Einstein's vacuum field equations the Manko–Novikov and the Quevedo–Mashhoon metrics might be suitable ones for the description of the exterior gravitational field of some real non-collapsed body. A new proposal to represent such exterior field is the stationary q-metric. In this contribution, we computed by means of the Fodor–Hoenselaers–Perjés formalism the lowest 10 relativistic multipole moments of these metrics. Corresponding moments were derived for the static vacuum solutions of Gutsunayev–Manko and Hernández–Martín. A direct comparison between the multipole moments of these non-isometric space–times is given.
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spelling pubmed-60836822018-08-14 On relativistic multipole moments of stationary space–times Frutos-Alfaro, Francisco Soffel, Michael R Soc Open Sci Physics Among the known exact solutions of Einstein's vacuum field equations the Manko–Novikov and the Quevedo–Mashhoon metrics might be suitable ones for the description of the exterior gravitational field of some real non-collapsed body. A new proposal to represent such exterior field is the stationary q-metric. In this contribution, we computed by means of the Fodor–Hoenselaers–Perjés formalism the lowest 10 relativistic multipole moments of these metrics. Corresponding moments were derived for the static vacuum solutions of Gutsunayev–Manko and Hernández–Martín. A direct comparison between the multipole moments of these non-isometric space–times is given. The Royal Society Publishing 2018-07-18 /pmc/articles/PMC6083682/ /pubmed/30109108 http://dx.doi.org/10.1098/rsos.180640 Text en © 2018 The Authors. http://creativecommons.org/licenses/by/4.0/ Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/, which permits unrestricted use, provided the original author and source are credited.
spellingShingle Physics
Frutos-Alfaro, Francisco
Soffel, Michael
On relativistic multipole moments of stationary space–times
title On relativistic multipole moments of stationary space–times
title_full On relativistic multipole moments of stationary space–times
title_fullStr On relativistic multipole moments of stationary space–times
title_full_unstemmed On relativistic multipole moments of stationary space–times
title_short On relativistic multipole moments of stationary space–times
title_sort on relativistic multipole moments of stationary space–times
topic Physics
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6083682/
https://www.ncbi.nlm.nih.gov/pubmed/30109108
http://dx.doi.org/10.1098/rsos.180640
work_keys_str_mv AT frutosalfarofrancisco onrelativisticmultipolemomentsofstationaryspacetimes
AT soffelmichael onrelativisticmultipolemomentsofstationaryspacetimes

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