Thick branes in the scalar–tensor representation of f(R, T) gravity
Abstract Braneworld scenarios consider our observable universe as a brane embedded in a five-dimensional bulk. In this work, we consider thick braneworld systems in the recently proposed dynamically equivalent scalar–tensor representation of f(R, T) gravity, where R is the Ricci scalar and T the tra...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-11-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-021-09783-5 |
| _version_ | 1819044542725226496 |
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| author | João Luís Rosa Matheus A. Marques Dionisio Bazeia Francisco S. N. Lobo |
| author_facet | João Luís Rosa Matheus A. Marques Dionisio Bazeia Francisco S. N. Lobo |
| author_sort | João Luís Rosa |
| collection | DOAJ |
| description | Abstract Braneworld scenarios consider our observable universe as a brane embedded in a five-dimensional bulk. In this work, we consider thick braneworld systems in the recently proposed dynamically equivalent scalar–tensor representation of f(R, T) gravity, where R is the Ricci scalar and T the trace of the stress–energy tensor. In the general $$f\left( R,T\right) $$ f R , T case we consider two different models: a brane model without matter fields where the geometry is supported solely by the gravitational fields, and a second model where matter is described by a scalar field with a potential. The particular cases for which the function $$f\left( R,T\right) $$ f R , T is separable in the forms $$F\left( R\right) +T$$ F R + T and $$R+G\left( T\right) $$ R + G T , which give rise to scalar–tensor representations with a single auxiliary scalar field, are studied separately. The stability of the gravitational sector is investigated and the models are shown to be stable against small perturbations of the metric. Furthermore, we show that in the $$f\left( R,T\right) $$ f R , T model in the presence of an extra matter field, the shape of the graviton zero-mode develops internal structure under appropriate choices of the parameters of the model. |
| first_indexed | 2024-12-21T10:14:20Z |
| format | Article |
| id | doaj.art-b7ffb8fe5cfe450eb6bf4aba890e72c2 |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-21T10:14:20Z |
| publishDate | 2021-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-b7ffb8fe5cfe450eb6bf4aba890e72c22022-12-21T19:07:38ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522021-11-01811111410.1140/epjc/s10052-021-09783-5Thick branes in the scalar–tensor representation of f(R, T) gravityJoão Luís Rosa0Matheus A. Marques1Dionisio Bazeia2Francisco S. N. Lobo3Institute of Physics, University of TartuDepartamento de Biotecnologia, Universidade Federal da ParaíbaDepartamento de Física, Universidade Federal da ParaíbaInstituto de Astrofísica e Ciências do Espaço, Faculdade de Ciências da Universidade de LisboaAbstract Braneworld scenarios consider our observable universe as a brane embedded in a five-dimensional bulk. In this work, we consider thick braneworld systems in the recently proposed dynamically equivalent scalar–tensor representation of f(R, T) gravity, where R is the Ricci scalar and T the trace of the stress–energy tensor. In the general $$f\left( R,T\right) $$ f R , T case we consider two different models: a brane model without matter fields where the geometry is supported solely by the gravitational fields, and a second model where matter is described by a scalar field with a potential. The particular cases for which the function $$f\left( R,T\right) $$ f R , T is separable in the forms $$F\left( R\right) +T$$ F R + T and $$R+G\left( T\right) $$ R + G T , which give rise to scalar–tensor representations with a single auxiliary scalar field, are studied separately. The stability of the gravitational sector is investigated and the models are shown to be stable against small perturbations of the metric. Furthermore, we show that in the $$f\left( R,T\right) $$ f R , T model in the presence of an extra matter field, the shape of the graviton zero-mode develops internal structure under appropriate choices of the parameters of the model.https://doi.org/10.1140/epjc/s10052-021-09783-5 |
| spellingShingle | João Luís Rosa Matheus A. Marques Dionisio Bazeia Francisco S. N. Lobo Thick branes in the scalar–tensor representation of f(R, T) gravity European Physical Journal C: Particles and Fields |
| title | Thick branes in the scalar–tensor representation of f(R, T) gravity |
| title_full | Thick branes in the scalar–tensor representation of f(R, T) gravity |
| title_fullStr | Thick branes in the scalar–tensor representation of f(R, T) gravity |
| title_full_unstemmed | Thick branes in the scalar–tensor representation of f(R, T) gravity |
| title_short | Thick branes in the scalar–tensor representation of f(R, T) gravity |
| title_sort | thick branes in the scalar tensor representation of f r t gravity |
| url | https://doi.org/10.1140/epjc/s10052-021-09783-5 |
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