Braneworld solutions for modified theories of gravity with nonconstant curvature

Bazeia, D.; Lobão, A. S.; Losano, L.; Menezes, R.; Olmo, Gonzalo J.

doi:10.1103/physrevd.91.124006

Cited by 26 publications

(24 citation statements)

References 47 publications

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“…For a pure geometric theory, we showed that it is impossible to get a smooth version of braneworld model. This is contrary to the metric f (R) theory [43][44][45][46][47]. For the theory with a source field, we used some techniques for the constraints, which can largely simplify the perturbation equations.…”

Section: Discussionmentioning

confidence: 99%

Stable Palatini f(R) braneworld

Liu

Zhong

2018

Phys. Rev. D

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We consider the static domain wall braneworld scenario constructed from the Palatini formalism fðRÞ theory. We check the self-consistency under scalar perturbations. By using the scalar-tensor formalism we avoid dealing with the higher-order equations. We develop the techniques to deal with the coupled system. We show that under some conditions, the scalar perturbation simply oscillates with time, which guarantees the stability. We also discuss the localization condition of the scalar mode by analyzing the effective potential and the fifth-dimensional profile of the scalar mode. We apply these results to an explicit example, and show that only some of the solutions allow for stable scalar perturbations. These stable solutions also give nonlocalizable massless mode. This is important for reproducing a viable four-dimensional gravity.

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Section: Discussionmentioning

confidence: 99%

Stable Palatini f(R) braneworld

Liu

Zhong

2018

Phys. Rev. D

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“…We assume that gravity is not described by general relativity, but by the so-called f (R) theories, where the Lagrangians are proportional to some functions of the scalar curvature R. The f (R) theories were created in the study of cosmology [21][22][23], and they are mainly applied in cosmology nowadays (see [24][25][26][27][28] and references therein). Nevertheless, there are works devoted to embedding branes, either thin [29][30][31][32][33][34], or thick [35][36][37][38][39][40][41][42][43] into various types of f (R) gravities.…”

Section: Introductionmentioning

confidence: 99%

“…To obtain reliable thick f (R)-brane models, we must either prove that the solutions found in Refs. [35][36][37][38][39][40][41][42][43] are also stable against the vector and the scalar perturbations, or to find some new solutions whose stabilities are easier to prove. In this paper we adopt the second path.…”

Section: Introductionmentioning

confidence: 99%

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Pure geometric thick f(R)-branes: stability and localization of gravity

Zhong

Liu

2016

Eur. Phys. J. C

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We study two exactly solvable five-dimensional thick brane world models in pure metric f (R) gravity. Working in the Einstein frame, we show that these solutions are stable against small linear perturbations, including the tensor, vector, and scalar modes. For both models, the corresponding gravitational zero mode is localized on the brane, which leads to the four-dimensional Newton law; while the massive modes are non-localized and only contribute a small correction to the Newton law at a large distance.

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“…This scheme has been dubbed the braneworld scenario. A number of models have been proposed [48][49][50][51][52][53][54][55][56][57][58][59][60][61][62][63][64][65] realizing the idea of modeling the brane with a scalar field configuration and the gravitational part of the action is non-minimally coupled to a fundamental or an auxiliary scalar field, as in the case of f (R) gravity. In the present article, we examine 5D models of scalars coupled non-minimally to gravity, in the framework of a frame-invariant formulation and focus on the study of thick braneworld solutions.…”

Section: Introductionmentioning

confidence: 99%

Frame-invariant approach to higher-dimensional scalar-tensor gravity

2018

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The recent interest in modified theories of gravity, involving some type of non-minimal coupling to the Ricci scalar, and the calculation of cosmological observables in the Einstein or the Jordan frame, motivate the formulation of these theories in terms of quantities that are invariant under frame transformations. Furthermore, in view of the description of gravity and its geometry motivated by string theory, such a formulation could be extended to include theories of extra spatial dimensions. In the present article, we generalize the construction of frame-invariant quantities, concerning a general, Ddimensional scalar-tensor theory. Then, we limit our scope to the 5D braneworld scenario, where we study thick brane solutions that are localized on the 3-brane and extend the invariant formulation to the case of multiple scalar fields (non-)minimally coupled to gravity.

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Braneworld solutions for modified theories of gravity with nonconstant curvature

Cited by 26 publications

References 47 publications

Stable Palatini f(R) braneworld

Stable Palatini f(R) braneworld

Pure geometric thick f(R)-branes: stability and localization of gravity

Frame-invariant approach to higher-dimensional scalar-tensor gravity

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