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In this paper, the solutions of the pure geometric thick $f(R)$ brane are investigated. The formulation of $f(R)$ is chosen as $f(R)=\sum_{i=1}^{n}a_{i}R^{i}+\Lambda$. For the certain value of $n$, the brane solution can be calculated, and…

High Energy Physics - Theory · Physics 2023-05-10 Heng Guo , Lang-Lang Wang , Chun-E Fu , Qun-Ying Xie

In this paper it is introduced and studied an alternative theory of gravitation in flat Minkowski space. Using an antisymmetric tensor, which is analogous to the tensor of electromagnetic field, a non-linear connection is introduced. It is…

General Relativity and Quantum Cosmology · Physics 2013-12-17 Kostadin Trencevski , Emilija G. Celakoska , Vladimir Balan

Linear stability of brane induced gravity in two codimensions on a static pure tension background is investigated. The brane is regularized as a ring of finite circumference in extra space. By explicitly calculating the vacuum persistence…

General Relativity and Quantum Cosmology · Physics 2015-12-14 Ludwig Eglseer , Florian Niedermann , Robert Schneider

In this work we deal with thick brane solutions in the warped five-dimensional braneworld scenario with a single extra spatial dimension of infinite extent, for a class of modified theories of gravity with a Lagrange multiplier. We first…

General Relativity and Quantum Cosmology · Physics 2021-03-23 Dionisio Bazeia , Douglas A. Ferreira , Francisco S. N. Lobo , João Luís Rosa

In this paper, we consider cosmological perturbations on a brane universe embedded in an Anti-de Sitter bulk. We use a novel gauge, in which the full five-dimensional problem is in principle solvable. In this gauge we derive the equations…

High Energy Physics - Theory · Physics 2007-05-23 C. van de Bruck , M. Dorca

We investigate thick-brane configurations in five-dimensional $f(T,T_G)$ modified teleparallel gravity. In five dimensions, the torsional Gauss-Bonnet invariant $T_G$ contributes dynamically, leading to genuinely new effects even at linear…

High Energy Physics - Theory · Physics 2026-05-20 A. R. P. Moreira , F. M. Belchior , Shi-Hai Dong , E. N. Saridakis

We consider static, axisymmetric, thick brane solutions on higher dimensional, spherically symmetric black hole backgrounds. It was found recently [1], that in cases when the thick brane has more than 2 spacelike dimensions, perturbative…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Viktor G. Czinner

We investigate second-order gravitational perturbations in asymptotically AdS black branes, developing a gauge-invariant framework to compute the amplitude ratio between quadratic and linear quasi-normal modes. Our analysis reveals resonant…

General Relativity and Quantum Cosmology · Physics 2025-09-23 Wen-Bin Pan , Zhangping Yu , Yi Ling

This work deals with braneworld models in the presence of scalar fields in a five-dimensional warped geometry with a single extra dimension of infinite extent. We consider generalized models in the presence of the Ricci scalar, the trace of…

High Energy Physics - Theory · Physics 2022-03-28 D. Bazeia , A. S. Lobão

Linear stability of braneworld models constructed with multi-scalar fields is very different from that of single-scalar field models. It is well known that both the tensor and scalar perturbation equations of the later can always be written…

High Energy Physics - Theory · Physics 2018-02-27 Feng-Wei Chen , Bao-Min Gu , Yu-Xiao Liu

We study the four-dimensional gravitational fluctuation on anisotropic brane tension embedded in braneworlds with vanishing bulk cosmological constant. In this setup, warp factors have two types (A and B) and we point out that the two types…

High Energy Physics - Theory · Physics 2007-05-23 Masato Ito

We investigate new models for scalar fields in flat and curved spacetime. We note that the global reflection symmetry of the potential that identify the scalar field model does not exclude the presence of internal asymmetries that give rise…

High Energy Physics - Theory · Physics 2017-08-23 R. Menezes , D. C. Moreira

We study the dynamics of a 2+1 dimensional relativistic viscous conformal fluid in Minkowski spacetime. Such fluid solutions arise as duals, under the "gravity/fluid correspondence", to 3+1 dimensional asymptotically anti-de Sitter (AAdS)…

High Energy Physics - Theory · Physics 2014-01-15 Stephen R. Green , Federico Carrasco , Luis Lehner

We study the properties of gravity and bulk fields living in a torsion warped braneworld. The torsion is driven by a background vector whose norm provides a source for the bulk cosmological constant. For a vector as the derivative of a…

General Relativity and Quantum Cosmology · Physics 2022-03-14 J. E. G. Silva , L. J. S. Sousa , W. T. Cruz , C. A. S. Almeida

In the framework of a general scalar-tensor theory, where the scalar field is non-minimally coupled to the five-dimensional Ricci scalar curvature, we investigate the emergence of complete brane-world solutions. By assuming a variety of…

High Energy Physics - Theory · Physics 2020-05-06 Theodoros Nakas , Panagiota Kanti , Nikolaos Pappas

We discuss the spectrum of the tensor metric perturbations and the stability of warped compactifications with the de Sitter spacetime in the higher-dimensional gravity. The spacetime structure is given in terms of the warped product of the…

High Energy Physics - Theory · Physics 2017-08-23 Masato Minamitsuji , Kunihito Uzawa

In the context of a five-dimensional theory with a scalar field non-minimally-coupled to gravity, we look for solutions that describe novel black-string or maximally-symmetric solutions in the bulk. The brane line-element is found to…

General Relativity and Quantum Cosmology · Physics 2018-10-09 Panagiota Kanti , Theodoros Nakas , Nikolaos Pappas

A Randall-Sundrum-like braneworld scenario is constructed in a 5D extension of the Lorentz-violating massive gravity. The gauge hierarchy problem is solved in current model. The linear perturbations are calculated, and it is found that the…

High Energy Physics - Theory · Physics 2023-10-09 Ke Yang , Shi-Fa Guo , Bao-Min Gu

The thick brane model is considered in $f(R)\sim R^n$ gravity. It is shown that regular asymptotically anti-de Sitter solutions exist in some range of values of the parameter $n$. A peculiar feature of this model is the existence of a fixed…

General Relativity and Quantum Cosmology · Physics 2010-05-12 V. Dzhunushaliev , V. Folomeev , B. Kleihaus , J. Kunz

We consider a warped brane world scenario with two branes, Gauss-Bonnet gravity in the bulk, and brane localised curvature terms. When matter is present on both branes, we investigate the linear equations of motion and distinguish three…

High Energy Physics - Theory · Physics 2009-11-10 Ph. Brax , N. Chatillon , D. A. Steer
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