Publicação
Gauge invariant perturbations of static spatially compact LRS II spacetimes
| Resumo: | We present a framework to describe completely general first-order perturbations of static, spatially compact, and locally rotationally symmetric class II spacetimes within the theory of general relativity. The perturbation variables are by construction covariant and identification gauge invariant and encompass the geometry and the thermodynamics of the fluid sources. The new equations are then applied to the study of isotropic, adiabatic perturbations. We discuss how the choice of frame in which perturbations are described can significantly simplify the mathematical analysis of the problem and show that it is possible to change frames directly from the linear level equations. We find explicitly that the case of isotropic, adiabatic perturbations can be reduced to a singular Sturm–Liouville eigenvalue problem, and lower bounds for the values of the eigenfrequencies can be derived. These results lay the theoretical groundwork to analytically describe linear, isotropic, and adiabatic perturbations of static, spherically symmetric spacetimes |
|---|---|
| Autores principais: | Luz, Paulo |
| Outros Autores: | Carloni, Sante |
| Ano: | 2024 |
| País: | Portugal |
| Tipo de documento: | artigo de revisão |
| Tipo de acesso: | acesso restrito |
| Instituição associada: | Escola Superior Náutica Infante D. Henrique |
| Idioma: | inglês |
| Origem: | Escola Superior Náutica Infante D. Henrique |
| _version_ | 1876683541883912192 |
|---|---|
| author | Luz, Paulo |
| author2 | Carloni, Sante |
| author2_role | author |
| author_facet | Luz, Paulo Carloni, Sante |
| author_role | author |
| contributor_name_str_mv | Repositório Comum |
| country_str | PT |
| creators_json_txt | [{\"Person.name\":\"Luz, Paulo\"},{\"Person.name\":\"Carloni, Sante\"}] |
| datacite.contributors.contributor.contributorName.fl_str_mv | Repositório Comum |
| datacite.creators.creator.creatorName.fl_str_mv | Luz, Paulo Carloni, Sante |
| datacite.date.Accepted.fl_str_mv | 2024-11-01T00:00:00Z |
| datacite.date.available.fl_str_mv | 2025-11-10T17:23:29Z |
| datacite.date.embargoed.fl_str_mv | 2025-11-10T17:23:29Z |
| datacite.rights.fl_str_mv | http://purl.org/coar/access_right/c_16ec |
| datacite.titles.title.fl_str_mv | Gauge invariant perturbations of static spatially compact LRS II spacetimes |
| dc.contributor.none.fl_str_mv | Repositório Comum |
| dc.creator.none.fl_str_mv | Luz, Paulo Carloni, Sante |
| dc.date.Accepted.fl_str_mv | 2024-11-01T00:00:00Z |
| dc.date.available.fl_str_mv | 2025-11-10T17:23:29Z |
| dc.date.embargoed.fl_str_mv | 2025-11-10T17:23:29Z |
| dc.format.none.fl_str_mv | application/pdf |
| dc.identifier.none.fl_str_mv | http://hdl.handle.net/10400.26/59596 |
| dc.language.none.fl_str_mv | eng |
| dc.publisher.none.fl_str_mv | IOPSciense |
| dc.rights.cclincense.fl_str_mv | http://creativecommons.org/licenses/by-nc-nd/4.0/ |
| dc.rights.none.fl_str_mv | http://purl.org/coar/access_right/c_16ec |
| dc.title.fl_str_mv | Gauge invariant perturbations of static spatially compact LRS II spacetimes |
| dc.type.none.fl_str_mv | http://purl.org/coar/resource_type/c_dcae04bc |
| description | We present a framework to describe completely general first-order perturbations of static, spatially compact, and locally rotationally symmetric class II spacetimes within the theory of general relativity. The perturbation variables are by construction covariant and identification gauge invariant and encompass the geometry and the thermodynamics of the fluid sources. The new equations are then applied to the study of isotropic, adiabatic perturbations. We discuss how the choice of frame in which perturbations are described can significantly simplify the mathematical analysis of the problem and show that it is possible to change frames directly from the linear level equations. We find explicitly that the case of isotropic, adiabatic perturbations can be reduced to a singular Sturm–Liouville eigenvalue problem, and lower bounds for the values of the eigenfrequencies can be derived. These results lay the theoretical groundwork to analytically describe linear, isotropic, and adiabatic perturbations of static, spherically symmetric spacetimes |
| dirty | 0 |
| eu_rights_str_mv | restrictedAccess |
| format | reviewArticle |
| fulltext.url.fl_str_mv | https://comum.rcaap.pt/bitstreams/a2f16014-b066-4e4a-a89c-40827248888a/download |
| id | enidh_c05e64af9133ab17d02cba1bfb733f05 |
| identifier.url.fl_str_mv | http://hdl.handle.net/10400.26/59596 |
| inst_facet_str | urn:organizationAcronym:enidh{{{_:::_}}}Escola Superior Náutica Infante D. Henrique |
| instacron_str | enidh |
| institution | Escola Superior Náutica Infante D. Henrique |
| instname_str | Escola Superior Náutica Infante D. Henrique |
| language | eng |
| network_acronym_str | enidh |
| network_name_str | Escola Superior Náutica Infante D. Henrique |
| oai_identifier_str | oai:comum.rcaap.pt:10400.26/59596 |
| organization_str_mv | urn:organizationAcronym:enidh |
| person_str_mv | Luz, Paulo Carloni, Sante |
| publishDate | 2024 |
| publisher.none.fl_str_mv | IOPSciense |
| repo_facet_str | urn:repositoryAcronym:enidh{{{_:::_}}}Escola Superior Náutica Infante D. Henrique |
| reponame_str | Escola Superior Náutica Infante D. Henrique |
| repository_id_str | urn:repositoryAcronym:enidh |
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| spelling | engIOPScienseengWe present a framework to describe completely general first-order perturbations of static, spatially compact, and locally rotationally symmetric class II spacetimes within the theory of general relativity. The perturbation variables are by construction covariant and identification gauge invariant and encompass the geometry and the thermodynamics of the fluid sources. The new equations are then applied to the study of isotropic, adiabatic perturbations. We discuss how the choice of frame in which perturbations are described can significantly simplify the mathematical analysis of the problem and show that it is possible to change frames directly from the linear level equations. We find explicitly that the case of isotropic, adiabatic perturbations can be reduced to a singular Sturm–Liouville eigenvalue problem, and lower bounds for the values of the eigenfrequencies can be derived. These results lay the theoretical groundwork to analytically describe linear, isotropic, and adiabatic perturbations of static, spherically symmetric spacetimesapplication/pdfengGauge invariant perturbations of static spatially compact LRS II spacetimesLuz, PauloCarloni, SanteHostingInstitutionOrganizationalRepositório Comume-mailmailto:comum@rcaap.ptcomum@rcaap.ptDOIIsPartOf10.1088/1361-6382/ad8a142025-11-10T17:23:29Z2024-112024-11-01T00:00:00ZHandlehttp://hdl.handle.net/10400.26/59596http://purl.org/coar/access_right/c_16ecrestricted access679665 bytesother research producthttp://purl.org/coar/resource_type/c_dcae04bcreview article2024-11http://creativecommons.org/licenses/by-nc-nd/4.0/http://purl.org/coar/access_right/c_16ecapplication/pdffulltexthttps://comum.rcaap.pt/bitstreams/a2f16014-b066-4e4a-a89c-40827248888a/downloadClassical and Quantum Gravity4123235012 |
| spellingShingle | Gauge invariant perturbations of static spatially compact LRS II spacetimes Luz, Paulo |
| status | SINGLETON |
| title | Gauge invariant perturbations of static spatially compact LRS II spacetimes |
| title_full | Gauge invariant perturbations of static spatially compact LRS II spacetimes |
| title_fullStr | Gauge invariant perturbations of static spatially compact LRS II spacetimes |
| title_full_unstemmed | Gauge invariant perturbations of static spatially compact LRS II spacetimes |
| title_short | Gauge invariant perturbations of static spatially compact LRS II spacetimes |
| title_sort | Gauge invariant perturbations of static spatially compact LRS II spacetimes |
| url | http://hdl.handle.net/10400.26/59596 |
| visible | 1 |
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