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In this paper, we study the thick brane scenario constructed in the recently proposed $f(T,\mathcal{T})$ theories of gravity, where $T$ is called the torsion scalar, and $\mathcal{T}$ is the trace of the energy-momentum tensor. We use the…

General Relativity and Quantum Cosmology · Physics 2021-12-09 A. R. P. Moreira , F. C. E. Lima , J. E. G. Silva , C. A. S. Almeida

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…

General Relativity and Quantum Cosmology · Physics 2021-11-11 João Luís Rosa , Matheus A. Marques , Dionisio Bazeia , Francisco S. N. Lobo

In this work we study braneworld models in generalized $f\left(R,T\right)$ gravity theories where the action depends on a function of the Ricci scalar $R$ and the trace of the stress-energy tensor $T$. We explore the so-called scalar-tensor…

General Relativity and Quantum Cosmology · Physics 2022-03-03 João Luís Rosa , A. S. Lobão , D. Bazeia

In this work we investigate the $f(R,T)$ brane in the scalar-tensor representation, where the solutions of the equations of motions for the source field engender topological defects with two-kink profiles. We use the first-order formalism…

General Relativity and Quantum Cosmology · Physics 2022-09-08 D. Bazeia , A. S. Lobão , João Luís Rosa

The effective four-dimensional, linearised gravity for a brane world model with higher order curvature terms and a bulk scalar field is analysed. Large and small distance gravitational laws are derived. The model has a single brane embedded…

High Energy Physics - Theory · Physics 2007-05-23 Stephen C. Davis

In this work we study braneworld configurations in the scalar-tensor representation of the $f\left(R,T\right)$ gravity theory in the presence of a Cuscuton term in the source field matter Lagrangian. We start by deriving the scalar-tensor…

General Relativity and Quantum Cosmology · Physics 2022-03-24 João Luís Rosa , D. Bazeia , A. S. Lobão

We study the thick brane world system constructed in the recently proposed $f(R,T)$ theories of gravity, with $R$ the Ricci scalar and $T$ the trace of the energy-momentum tensor. We try to get the analytic background solutions and discuss…

High Energy Physics - Theory · Physics 2017-02-24 Bao-Min Gu , Yu-Peng Zhang , Hao Yu , Yu-Xiao Liu

In this paper, we investigate thick branes generated by a scalar field in mimetic gravity theory. By introducing two auxiliary super-potentials, we transform the second-order field equations of the system into a set of first-order…

General Relativity and Quantum Cosmology · Physics 2021-02-23 Qun-Ying Xie , Qi-Ming Fu , Tao-Tao Sui , Li Zhao , Yi Zhong

This work deal with braneworld scenarios with generalized teleparallel gravity. We extend a recent investigation, where the model studied was described by $F(T)=T+k T^n$. In the current study, we introduce the first-order formalism to find…

High Energy Physics - Theory · Physics 2014-06-11 Roberto Menezes

The brane-world scenario provides an intriguing possibility to explore the phenomenological cosmology implied by string/M theory. In this paper, we consider a modified Randall-Sundrum single brane model with two natural generalizations: a…

High Energy Physics - Theory · Physics 2014-05-06 Mariam Bouhmadi-Lopez , Yen-Wei Liu , Keisuke Izumi , Pisin Chen

We explore thick branes in $f(R,\phi,X)$ gravity. We obtain the linear tensor perturbation equation of $f(R,\phi,X)$ branes and show that the branes are stable against the tensor perturbations under the condition of $\frac{\partial…

High Energy Physics - Theory · Physics 2018-11-15 Zheng-Quan Cui , Yu-Xiao Liu , Bao-Min Gu , Li Zhao

Here we propose the extended modified gravity theory named as $f(R,G,\mathcal{T})$ gravity where $R$ is the Ricci scalar, $G$ is the Gauss-Bonnet invariant and $\mathcal{T}$ is the trace of the stress-energy tensor. We derive the…

General Relativity and Quantum Cosmology · Physics 2020-12-02 Ujjal Debnath

We discuss a very general theory of gravity, of which Lagrangian is an arbitrary function of the curvature invariants, on the brane. In general, the formulation of the junction conditions (except for Euler characteristics such as…

High Energy Physics - Theory · Physics 2014-11-20 Mariusz P. Dabrowski , Adam Balcerzak

In this work, the $f(\mathcal{G},T)$ theory of gravity is recast in terms of the $\phi$ and $\psi$ fields within the scalar-tensor formulation, where $\mathcal{G}$ is the Gauss-Bonnet term and $T$ denotes the trace of the energy-momentum…

General Relativity and Quantum Cosmology · Physics 2023-12-20 Adam Z. Kaczmarek , Dominik Szczęśniak

We propose a scalar-tensor representation of $f(R)$ theories with use of conformal transformations. In this representation, the model takes the form of the Brans-Dicke model with a potential function and a non-zero kinetic term for the…

Astrophysics · Physics 2009-09-24 Yousef Bisabr

In this work, the influence of the boundary term $B$ is analyzed in a string-like thick brane scenario in the gravity context $f(T, B)$. For that, three models of $f(T, B)$ are proposed, i.e., $f_1(T, B)=T+k{B}^{n}$, $f_2(T,…

General Relativity and Quantum Cosmology · Physics 2023-11-15 A. R. P. Moreira , C. A. S. Almeida

We consider a generalization of the Randall-Sundrum single brane-world scenario (RS2). More precisely, the generalization is described through curvature corrections, corresponding to a Gauss-Bonnet term in the bulk and a Hilbert-Einstein…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Mariam Bouhmadi-Lopez , Pisin Chen , Yen-Wei Liu

This work deals with braneworld scenarios in the presence of real scalar field with standard dynamics. We show that the first-order formalism, which exists in the case of flat brane, can be extended to bent brane, for both de Sitter and…

High Energy Physics - Theory · Physics 2009-11-11 V. I. Afonso , D. Bazeia , L. Losano

In this letter, we explore a generalized model based on two scenarios including the Randall-Sundrum model and Gravity model $F(T,\Theta)$. We first study the standard Randall-Sundrum Gravitational model and then add a function containing…

General Physics · Physics 2018-12-04 S. Davood Sadatian , S. M. Hosseini

This work deals with braneworld scenarios obtained from N real scalar fields, whose dynamics is generalized to include higher order power in the derivative of the fields. For the scalar fields being driven by nonstandard dynamics, we show…

High Energy Physics - Theory · Physics 2013-08-06 D. Bazeia , A. S. Lobao , L. Losano , R. Menezes
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