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...
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2021
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oai:doaj.org-article:b7ffb8fe5cfe450eb6bf4aba890e72c22021-11-14T12:13:37ZThick branes in the scalar–tensor representation of f(R, T) gravity10.1140/epjc/s10052-021-09783-51434-60441434-6052https://doaj.org/article/b7ffb8fe5cfe450eb6bf4aba890e72c22021-11-01T00:00:00Zhttps://doi.org/10.1140/epjc/s10052-021-09783-5https://doaj.org/toc/1434-6044https://doaj.org/toc/1434-6052Abstract 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.João Luís RosaMatheus A. MarquesDionisio BazeiaFrancisco S. N. LoboSpringerOpenarticleAstrophysicsQB460-466Nuclear and particle physics. Atomic energy. RadioactivityQC770-798ENEuropean Physical Journal C: Particles and Fields, Vol 81, Iss 11, Pp 1-14 (2021) |
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Astrophysics QB460-466 Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 |
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Astrophysics QB460-466 Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 João Luís Rosa Matheus A. Marques Dionisio Bazeia Francisco S. N. Lobo Thick branes in the scalar–tensor representation of f(R, T) gravity |
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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. |
format |
article |
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 |
title |
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_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_sort |
thick branes in the scalar–tensor representation of f(r, t) gravity |
publisher |
SpringerOpen |
publishDate |
2021 |
url |
https://doaj.org/article/b7ffb8fe5cfe450eb6bf4aba890e72c2 |
work_keys_str_mv |
AT joaoluisrosa thickbranesinthescalartensorrepresentationoffrtgravity AT matheusamarques thickbranesinthescalartensorrepresentationoffrtgravity AT dionisiobazeia thickbranesinthescalartensorrepresentationoffrtgravity AT franciscosnlobo thickbranesinthescalartensorrepresentationoffrtgravity |
_version_ |
1718429369493356544 |