Whom actually do multipole moments belong to?

[EN]Using an integral definition given in Hernández-Pastora et al. (Class Quantum Gravity 33:225009, 2016) to calculate the relativistic multipole moments (RMM), and the ensuing generalized relativistic Gauss theorem, we prove that the evaluation of that volume integral in Erez–Rosen coordinates, le...

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Detalles Bibliográficos
Autor: Hernández Pastora, José Luis
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2022
País:España
Institución:Universidad de Salamanca (USAL)
Repositorio:GREDOS. Repositorio Institucional de la Universidad de Salamanca
OAI Identifier:oai:gredos.usal.es:10366/161307
Acceso en línea:http://hdl.handle.net/10366/161307
Access Level:acceso abierto
Palabra clave:2212.14 Teoría de la Relatividad
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spelling Whom actually do multipole moments belong to?Hernández Pastora, José Luis2212.14 Teoría de la Relatividad[EN]Using an integral definition given in Hernández-Pastora et al. (Class Quantum Gravity 33:225009, 2016) to calculate the relativistic multipole moments (RMM), and the ensuing generalized relativistic Gauss theorem, we prove that the evaluation of that volume integral in Erez–Rosen coordinates, leads to a specific link between the RMM and the source of the exterior space–time, provided we have a global static axisymmetric metric in that coordinate system for any Weyl exterior field. This result allows to establish a relationship between the RMM and certain volume integral expressions involving the material content of the source from its energy–momentum tensor as well as the interior metric. In particular the relativistic quadrupole moment for the Erez–Rosen space–time is obtained.Springer202420242022info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://hdl.handle.net/10366/161307reponame:GREDOS. Repositorio Institucional de la Universidad de Salamancainstname:Universidad de Salamanca (USAL)InglésMinisterio de Ciencia, Innovación y Universidades. Subdirección General de Proyectos de Investigación, under Research Project No. PGC2018-096038-B-I00 (MINECO/FEDER)Junta de Castilla y León under the Research Project Grupo de Excelencia GR234 Ref.:SA096P20 (Fondos Feder y en línea con objetivos RIS3)info:eu-repo/semantics/openAccessoai:gredos.usal.es:10366/1613072026-06-07T06:28:51Z
dc.title.none.fl_str_mv Whom actually do multipole moments belong to?
title Whom actually do multipole moments belong to?
spellingShingle Whom actually do multipole moments belong to?
Hernández Pastora, José Luis
2212.14 Teoría de la Relatividad
title_short Whom actually do multipole moments belong to?
title_full Whom actually do multipole moments belong to?
title_fullStr Whom actually do multipole moments belong to?
title_full_unstemmed Whom actually do multipole moments belong to?
title_sort Whom actually do multipole moments belong to?
dc.creator.none.fl_str_mv Hernández Pastora, José Luis
author Hernández Pastora, José Luis
author_facet Hernández Pastora, José Luis
author_role author
dc.subject.none.fl_str_mv 2212.14 Teoría de la Relatividad
topic 2212.14 Teoría de la Relatividad
description [EN]Using an integral definition given in Hernández-Pastora et al. (Class Quantum Gravity 33:225009, 2016) to calculate the relativistic multipole moments (RMM), and the ensuing generalized relativistic Gauss theorem, we prove that the evaluation of that volume integral in Erez–Rosen coordinates, leads to a specific link between the RMM and the source of the exterior space–time, provided we have a global static axisymmetric metric in that coordinate system for any Weyl exterior field. This result allows to establish a relationship between the RMM and certain volume integral expressions involving the material content of the source from its energy–momentum tensor as well as the interior metric. In particular the relativistic quadrupole moment for the Erez–Rosen space–time is obtained.
publishDate 2022
dc.date.none.fl_str_mv 2022
2024
2024
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10366/161307
url http://hdl.handle.net/10366/161307
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Ministerio de Ciencia, Innovación y Universidades. Subdirección General de Proyectos de Investigación, under Research Project No. PGC2018-096038-B-I00 (MINECO/FEDER)
Junta de Castilla y León under the Research Project Grupo de Excelencia GR234 Ref.:SA096P20 (Fondos Feder y en línea con objetivos RIS3)
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:GREDOS. Repositorio Institucional de la Universidad de Salamanca
instname:Universidad de Salamanca (USAL)
instname_str Universidad de Salamanca (USAL)
reponame_str GREDOS. Repositorio Institucional de la Universidad de Salamanca
collection GREDOS. Repositorio Institucional de la Universidad de Salamanca
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,811543

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