Rectifying Einstein-Gauss-Bonnet inflation in view of GW170817
In this work we introduce a new theoretical framework for Einstein-Gauss-Bonnet theories of gravity, which results to particularly elegant, functionally simple and transparent gravitational equations of motion, slow-roll indices and the corresponding observational indices. The main requirement is th...
| Autores: | , , |
|---|---|
| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2020 |
| País: | España |
| Recursos: | Consejo Superior de Investigaciones Científicas (CSIC) |
| Repositorio: | DIGITAL.CSIC. Repositorio Institucional del CSIC |
| OAI Identifier: | oai:digital.csic.es:10261/237251 |
| Acesso em linha: | http://hdl.handle.net/10261/237251 |
| Access Level: | acceso abierto |
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Rectifying Einstein-Gauss-Bonnet inflation in view of GW170817Odintsov, Sergei D.Oikonomou, Vasilis K.Fronimos, F. P.In this work we introduce a new theoretical framework for Einstein-Gauss-Bonnet theories of gravity, which results to particularly elegant, functionally simple and transparent gravitational equations of motion, slow-roll indices and the corresponding observational indices. The main requirement is that the Einstein-Gauss-Bonnet theory has to be compatible with the GW170817 event, so the gravitational wave speed c2Tis required to be c2T 1in natural units. This assumption was also made in a previous work of ours, but in this work we express all the related quantities as functions of the scalar field. The constraint c2T 1restricts the functional form of the scalar Gauss-Bonnet coupling function ξ(φ)and of the scalar potential V(φ), which must satisfy a differential equation. However, by also assuming that the slow-roll conditions hold true, the resulting equations of motion and the slow-roll indices acquire particularly simple forms, and also the relation that yields the e-foldings number is N=∫φfφiξ′′/ξ′dφ,a fact that enables us to perform particularly simple calculations in order to study the inflationary phenomenological implications of several models. As it proves, the models we presented are compatible with the observational data, and also satisfy all the assumptions made during the process of extracting the gravitational equations of motion. More interestingly, we also investigated the phenomenological implications of an additional condition ξ′/ξ′′<<1, which is motivated by the slow-roll conditions that are imposed on the scalar field evolution and on the Hubble rate. As we shall show, the resulting constraint differential equation that constrains the functional form of the scalar Gauss-Bonnet coupling function ξ(φ)and of the scalar potential V(φ), is simpler in this case, and in effect the whole study becomes somewhat easier. As we also show, compatibility with the observational data can also be achieved in this case too, in a much simpler and less constrained way. Our approach opens a new window in viable Einstein-Gauss-Bonnet theories of gravity.This work is supported by MINECO (Spain), FIS2016-76363-P, and by project 2017 SGR247 (AGAUR, Catalonia) (S.D.O).Peer reviewedElsevierMinisterio de Economía y Competitividad (España)Generalitat de CatalunyaConsejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]202120212020info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Publisher's versioninfo:eu-repo/semantics/publishedVersionhttp://hdl.handle.net/10261/237251reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)Inglés#PLACEHOLDER_PARENT_METADATA_VALUE#info:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/FIS2016-76363-Phttps://doi.org/10.1016/j.nuclphysb.2020.115135Síinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/2372512026-05-22T06:33:51Z |
| dc.title.none.fl_str_mv |
Rectifying Einstein-Gauss-Bonnet inflation in view of GW170817 |
| title |
Rectifying Einstein-Gauss-Bonnet inflation in view of GW170817 |
| spellingShingle |
Rectifying Einstein-Gauss-Bonnet inflation in view of GW170817 Odintsov, Sergei D. |
| title_short |
Rectifying Einstein-Gauss-Bonnet inflation in view of GW170817 |
| title_full |
Rectifying Einstein-Gauss-Bonnet inflation in view of GW170817 |
| title_fullStr |
Rectifying Einstein-Gauss-Bonnet inflation in view of GW170817 |
| title_full_unstemmed |
Rectifying Einstein-Gauss-Bonnet inflation in view of GW170817 |
| title_sort |
Rectifying Einstein-Gauss-Bonnet inflation in view of GW170817 |
| dc.creator.none.fl_str_mv |
Odintsov, Sergei D. Oikonomou, Vasilis K. Fronimos, F. P. |
| author |
Odintsov, Sergei D. |
| author_facet |
Odintsov, Sergei D. Oikonomou, Vasilis K. Fronimos, F. P. |
| author_role |
author |
| author2 |
Oikonomou, Vasilis K. Fronimos, F. P. |
| author2_role |
author author |
| dc.contributor.none.fl_str_mv |
Ministerio de Economía y Competitividad (España) Generalitat de Catalunya Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72] |
| description |
In this work we introduce a new theoretical framework for Einstein-Gauss-Bonnet theories of gravity, which results to particularly elegant, functionally simple and transparent gravitational equations of motion, slow-roll indices and the corresponding observational indices. The main requirement is that the Einstein-Gauss-Bonnet theory has to be compatible with the GW170817 event, so the gravitational wave speed c2Tis required to be c2T 1in natural units. This assumption was also made in a previous work of ours, but in this work we express all the related quantities as functions of the scalar field. The constraint c2T 1restricts the functional form of the scalar Gauss-Bonnet coupling function ξ(φ)and of the scalar potential V(φ), which must satisfy a differential equation. However, by also assuming that the slow-roll conditions hold true, the resulting equations of motion and the slow-roll indices acquire particularly simple forms, and also the relation that yields the e-foldings number is N=∫φfφiξ′′/ξ′dφ,a fact that enables us to perform particularly simple calculations in order to study the inflationary phenomenological implications of several models. As it proves, the models we presented are compatible with the observational data, and also satisfy all the assumptions made during the process of extracting the gravitational equations of motion. More interestingly, we also investigated the phenomenological implications of an additional condition ξ′/ξ′′<<1, which is motivated by the slow-roll conditions that are imposed on the scalar field evolution and on the Hubble rate. As we shall show, the resulting constraint differential equation that constrains the functional form of the scalar Gauss-Bonnet coupling function ξ(φ)and of the scalar potential V(φ), is simpler in this case, and in effect the whole study becomes somewhat easier. As we also show, compatibility with the observational data can also be achieved in this case too, in a much simpler and less constrained way. Our approach opens a new window in viable Einstein-Gauss-Bonnet theories of gravity. |
| publishDate |
2020 |
| dc.date.none.fl_str_mv |
2020 2021 2021 |
| dc.type.none.fl_str_mv |
info:eu-repo/semantics/article http://purl.org/coar/resource_type/c_6501 Publisher's version info:eu-repo/semantics/publishedVersion |
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article |
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publishedVersion |
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http://hdl.handle.net/10261/237251 |
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http://hdl.handle.net/10261/237251 |
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Inglés |
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Inglés |
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#PLACEHOLDER_PARENT_METADATA_VALUE# info:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/FIS2016-76363-P https://doi.org/10.1016/j.nuclphysb.2020.115135 Sí |
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info:eu-repo/semantics/openAccess |
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openAccess |
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Elsevier |
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Elsevier |
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reponame:DIGITAL.CSIC. Repositorio Institucional del CSIC instname:Consejo Superior de Investigaciones Científicas (CSIC) |
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Consejo Superior de Investigaciones Científicas (CSIC) |
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