Homogeneous cosmological models in Weyl’s Geometrical scalar–tensor theory
Autor(a) principal: | |
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Data de Publicação: | 2023 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Biblioteca Digital de Teses e Dissertações da UFCG |
Texto Completo: | http://dspace.sti.ufcg.edu.br:8080/jspui/handle/riufcg/36124 |
Resumo: | In this paper, we consider homogeneous cosmological solutions in the context of the Weyl geometrical scalar–tensor theory. Firstly, we exhibit an anisotropic Kasner type solution taking advantage of some similarities between this theory and the Brans–Dicke theory. Next, we consider an isotropic model with a flat spatial section sourced by matter configurations described by a perfect fluid. In this model, we obtain an analytical solution for the stiff matter case. For other cases, we carry out a complete qualitative analysis theory to investigate the general behaviour of the solutions, presenting some possible scenarios. In this work, we do not consider the presence of the cosmological constant nor do we take any potential of the scalar field into account. Because of this, we do not find any solution describing the acceleration of the universe. |
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Universidade Federal de Campina GrandeUFCGBrasilFísica.Cosmological modelsModelos cosmológicosWeyl geometryGeometria de WeylScalar-tensor theoryTensor de WeylTeoria geométrica escalar-tensor de WeylTeoria do tensor escalarWeyl scalar-tensor geometric theoryHomogeneous cosmological models in Weyl’s Geometrical scalar–tensor theoryModelos cosmológicos homogêneos na teoria geométrica escalar-tensor de Weyl20232024-06-14T18:47:43Z2024-06-142024-06-14T18:47:43ZIn this paper, we consider homogeneous cosmological solutions in the context of the Weyl geometrical scalar–tensor theory. Firstly, we exhibit an anisotropic Kasner type solution taking advantage of some similarities between this theory and the Brans–Dicke theory. Next, we consider an isotropic model with a flat spatial section sourced by matter configurations described by a perfect fluid. In this model, we obtain an analytical solution for the stiff matter case. For other cases, we carry out a complete qualitative analysis theory to investigate the general behaviour of the solutions, presenting some possible scenarios. In this work, we do not consider the presence of the cosmological constant nor do we take any potential of the scalar field into account. Because of this, we do not find any solution describing the acceleration of the universe.Submitted by Renata Cardoso (renaatachaves97@hotmail.com) on 2024-06-14T18:47:43Z No. of bitstreams: 1 HOMOGENEOUS MODELS IN WEYL'S - ARTIGO DE PERIÓDICO CDSA 2023.pdf: 261474 bytes, checksum: 8586d5451936a635e49fe16981367063 (MD5)Made available in DSpace on 2024-06-14T18:47:43Z (GMT). No. of bitstreams: 1 HOMOGENEOUS MODELS IN WEYL'S - ARTIGO DE PERIÓDICO CDSA 2023.pdf: 261474 bytes, checksum: 8586d5451936a635e49fe16981367063 (MD5) Previous issue date: 2023http://dspace.sti.ufcg.edu.br:8080/jspui/handle/riufcg/36124BARROS, Adriano Trindade de; ROMERO FILHO, Carlos Augusto. Homogeneous Cosmological Models in Weyl’s Geometrical Scalar-Tensor Theory. In: UNIVERSE, v. 9, p. 1-20, 2023. Disponível em: http://dspace.sti.ufcg.edu.br:8080/jspui/handle/riufcg/36124info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleengBARROS, Adriano Trindade de.ROMERO FILHO, Carlos Augusto.info:eu-repo/semantics/openAccessreponame:Biblioteca Digital de Teses e Dissertações da UFCGinstname:Universidade Federal de Campina Grande (UFCG)instacron:UFCGLICENSElicense.txtlicense.txttext/plain; charset=utf-81748http://dspace.sti.ufcg.edu.br:8080/xmlui/bitstream/riufcg/36124/2/license.txt8a4605be74aa9ea9d79846c1fba20a33MD52ORIGINALHOMOGENEOUS MODELS IN WEYL'S - ARTIGO DE PERIÓDICO CDSA 2023.pdfHOMOGENEOUS MODELS IN WEYL'S - ARTIGO DE PERIÓDICO CDSA 2023.pdfapplication/pdf261474http://dspace.sti.ufcg.edu.br:8080/xmlui/bitstream/riufcg/36124/1/HOMOGENEOUS+MODELS+IN+WEYL%27S+-+ARTIGO+DE+PERI%C3%93DICO+CDSA+2023.pdf8586d5451936a635e49fe16981367063MD51riufcg/361242024-06-14 15:48:37.425oai:localhost: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Biblioteca Digital de Teses e Dissertaçõeshttp://bdtd.ufcg.edu.br/PUBhttp://dspace.sti.ufcg.edu.br:8080/oai/requestbdtd@setor.ufcg.edu.br || bdtd@setor.ufcg.edu.bropendoar:48512024-07-01T10:44:06.297278Biblioteca Digital de Teses e Dissertações da UFCG - Universidade Federal de Campina Grande (UFCG)false |
dc.title.pt_BR.fl_str_mv |
Homogeneous cosmological models in Weyl’s Geometrical scalar–tensor theory |
dc.title.alternative.pt_BR.fl_str_mv |
Modelos cosmológicos homogêneos na teoria geométrica escalar-tensor de Weyl |
title |
Homogeneous cosmological models in Weyl’s Geometrical scalar–tensor theory |
spellingShingle |
Homogeneous cosmological models in Weyl’s Geometrical scalar–tensor theory BARROS, Adriano Trindade de. Física. Cosmological models Modelos cosmológicos Weyl geometry Geometria de Weyl Scalar-tensor theory Tensor de Weyl Teoria geométrica escalar-tensor de Weyl Teoria do tensor escalar Weyl scalar-tensor geometric theory |
title_short |
Homogeneous cosmological models in Weyl’s Geometrical scalar–tensor theory |
title_full |
Homogeneous cosmological models in Weyl’s Geometrical scalar–tensor theory |
title_fullStr |
Homogeneous cosmological models in Weyl’s Geometrical scalar–tensor theory |
title_full_unstemmed |
Homogeneous cosmological models in Weyl’s Geometrical scalar–tensor theory |
title_sort |
Homogeneous cosmological models in Weyl’s Geometrical scalar–tensor theory |
author |
BARROS, Adriano Trindade de. |
author_facet |
BARROS, Adriano Trindade de. ROMERO FILHO, Carlos Augusto. |
author_role |
author |
author2 |
ROMERO FILHO, Carlos Augusto. |
author2_role |
author |
dc.contributor.author.fl_str_mv |
BARROS, Adriano Trindade de. ROMERO FILHO, Carlos Augusto. |
dc.subject.cnpq.fl_str_mv |
Física. |
topic |
Física. Cosmological models Modelos cosmológicos Weyl geometry Geometria de Weyl Scalar-tensor theory Tensor de Weyl Teoria geométrica escalar-tensor de Weyl Teoria do tensor escalar Weyl scalar-tensor geometric theory |
dc.subject.por.fl_str_mv |
Cosmological models Modelos cosmológicos Weyl geometry Geometria de Weyl Scalar-tensor theory Tensor de Weyl Teoria geométrica escalar-tensor de Weyl Teoria do tensor escalar Weyl scalar-tensor geometric theory |
description |
In this paper, we consider homogeneous cosmological solutions in the context of the Weyl geometrical scalar–tensor theory. Firstly, we exhibit an anisotropic Kasner type solution taking advantage of some similarities between this theory and the Brans–Dicke theory. Next, we consider an isotropic model with a flat spatial section sourced by matter configurations described by a perfect fluid. In this model, we obtain an analytical solution for the stiff matter case. For other cases, we carry out a complete qualitative analysis theory to investigate the general behaviour of the solutions, presenting some possible scenarios. In this work, we do not consider the presence of the cosmological constant nor do we take any potential of the scalar field into account. Because of this, we do not find any solution describing the acceleration of the universe. |
publishDate |
2023 |
dc.date.issued.fl_str_mv |
2023 |
dc.date.accessioned.fl_str_mv |
2024-06-14T18:47:43Z |
dc.date.available.fl_str_mv |
2024-06-14 2024-06-14T18:47:43Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dspace.sti.ufcg.edu.br:8080/jspui/handle/riufcg/36124 |
dc.identifier.citation.fl_str_mv |
BARROS, Adriano Trindade de; ROMERO FILHO, Carlos Augusto. Homogeneous Cosmological Models in Weyl’s Geometrical Scalar-Tensor Theory. In: UNIVERSE, v. 9, p. 1-20, 2023. Disponível em: http://dspace.sti.ufcg.edu.br:8080/jspui/handle/riufcg/36124 |
url |
http://dspace.sti.ufcg.edu.br:8080/jspui/handle/riufcg/36124 |
identifier_str_mv |
BARROS, Adriano Trindade de; ROMERO FILHO, Carlos Augusto. Homogeneous Cosmological Models in Weyl’s Geometrical Scalar-Tensor Theory. In: UNIVERSE, v. 9, p. 1-20, 2023. Disponível em: http://dspace.sti.ufcg.edu.br:8080/jspui/handle/riufcg/36124 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.publisher.none.fl_str_mv |
Universidade Federal de Campina Grande |
dc.publisher.initials.fl_str_mv |
UFCG |
dc.publisher.country.fl_str_mv |
Brasil |
publisher.none.fl_str_mv |
Universidade Federal de Campina Grande |
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UFCG |
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UFCG |
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Biblioteca Digital de Teses e Dissertações da UFCG |
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