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Review on the matching conditions for the tidal problem: towards the application to more general contexts
dc.contributor.author | Aranguren Ruiz, Eneko | |
dc.contributor.author | Vera Jiménez, Raül ![]() | |
dc.date.accessioned | 2024-05-15T16:08:37Z | |
dc.date.available | 2024-05-15T16:08:37Z | |
dc.date.issued | 2024-04 | |
dc.identifier.citation | General Relativity and Gravitation 56(4) : (2024) // Article ID 50 | es_ES |
dc.identifier.issn | 0001-7701 | |
dc.identifier.issn | 1572-9532 | |
dc.identifier.uri | http://hdl.handle.net/10810/67958 | |
dc.description.abstract | The tidal problem is used to obtain the tidal deformability (or Love number) of stars. The semi-analytical study is usually treated in perturbation theory as a first order perturbation problem over a spherically symmetric background configuration consisting of a stellar interior region matched across a boundary to a vacuum exterior region that models the tidal field. The field equations for the metric and matter perturbations at the interior and exterior regions are complemented with corresponding boundary conditions. The data of the two problems at the common boundary are related by the so called matching conditions. These conditions for the tidal problem are known in the contexts of perfect fluid stars and superfluid stars modelled by a two-fluid. Here we review the obtaining of the matching conditions for the tidal problem starting from a purely geometrical setting, and present them so that they can be readily applied to more general contexts, such as other types of matter fields, different multiple layers or phase transitions. As a guide on how to use the matching conditions, we recover the known results for perfect fluid and superfluid neutron stars. | es_ES |
dc.description.sponsorship | We thank the anonymous referee for useful suggestions. Work supported by the Basque Government (Grant No. IT1628-22) and Spanish Agencia Estatal de Investigación (Grant No. PID2021-123226NB-I00 funded by “ERDF A way of making Europe” and MCIN/AEI/10.13039/501100011033). E. A. is supported by the Basque Government Grant No. PRE_2023_2_0199.Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature. | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | Springer Nature | es_ES |
dc.relation | info:eu-repo/grantAgreement/MICINN/PID2021-123226NB-I00 | es_ES |
dc.rights | info:eu-repo/semantics/openAccess | es_ES |
dc.rights.uri | http://creativecommons.org/licenses/by/3.0/es/ | * |
dc.subject | general relativity | es_ES |
dc.subject | perturbation theory | es_ES |
dc.subject | tidal problem | es_ES |
dc.subject | matching conditions | es_ES |
dc.title | Review on the matching conditions for the tidal problem: towards the application to more general contexts | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.rights.holder | © The Author(s) 2024. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/. | es_ES |
dc.rights.holder | Atribución 3.0 España | * |
dc.relation.publisherversion | https://link.springer.com/article/10.1007/s10714-024-03237-5 | es_ES |
dc.identifier.doi | 10.1007/s10714-024-03237-5 | |
dc.departamentoes | Física | es_ES |
dc.departamentoeu | Fisika | es_ES |
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Excepto si se señala otra cosa, la licencia del ítem se describe como © The Author(s) 2024. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.