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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Autores principales: João Luís Rosa, Matheus A. Marques, Dionisio Bazeia, Francisco S. N. Lobo
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Publicado: SpringerOpen 2021
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Acceso en línea:https://doaj.org/article/b7ffb8fe5cfe450eb6bf4aba890e72c2
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spelling 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)
institution DOAJ
collection DOAJ
language EN
topic Astrophysics
QB460-466
Nuclear and particle physics. Atomic energy. Radioactivity
QC770-798
spellingShingle 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
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.
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
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