Braneworld solutions for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi>F</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>R</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> models with non-constant curvature

Bazeia, D.; Lobão, A. S.; Menezes, R.; Petrov, A. Yu.; Silva, A.J. da

doi:10.1016/j.physletb.2014.01.011

Cited by 64 publications

(45 citation statements)

References 48 publications

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“…As solutions for some cosmological parameters, as the bulk CC, the authors have found Λ 5 = 477/(−6728ακ 2 5 ), with κ 5 representing the five-dimensional coupling constant. Moreover, another approach which provides similar results predicts that Λ 5 = −B 2 k 2 (3 + 20αB 2 k 2 ) [13]. Note that in order to obtain a negative bulk CC, α must be positive, which is in accordance with what was developed in the previous section.…”

Section: Comparison With Cosmologysupporting

confidence: 85%

“…In the next section, we present a brief review of F (R) brane models. In particular, we review the results presented by Bazeia and collaborators [13]. In Sec.III, we present an overview regarding CE measure, and we calculate the entropic information for the F (R) brane models.…”

Section: Introductionmentioning

confidence: 94%

“…Hence the energy density reads [13] ρ(y) = g 1 sh 2B (ky)+g 2 sh 2B+2 (ky)+g 3 sh 2B+4 (ky), (16) with sh ≡ sech and…”

Section: A Brief Review Of F (R) Brane Modelsmentioning

confidence: 99%

“…In [13], for instance, the authors obtained exact solutions for the scalar field, warp factor and energy density in a scenario with non-constant curvature. Analytical solutions for the equations of motion in the case of constant curvature were presented in [14].…”

Section: Introductionmentioning

confidence: 99%

“…Analytical solutions for the equations of motion in the case of constant curvature were presented in [14]. The modified Einstein's equations were solved for a flat brane in [15]. Furthermore, cosmological solutions for a fourth-order F (R) brane gravity are presented in [16].…”

Section: Introductionmentioning

confidence: 99%

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Information content inF(R)brane models with nonconstant curvature

et al. 2015

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In this work we investigate the entropic information-measure in the context of braneworlds with non-constant curvature. The braneworld entropic information is studied for gravity modified by the squared of the Ricci scalar, besides the usual Einstein-Hilbert term. We showed that the minimum value of the brane configurational entropy provides a stricter bound on the parameter that is responsible for the F (R) model to differ from the Einstein-Hilbert standard one. Our results are moreover consistent to a negative bulk cosmological constant.

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Section: Comparison With Cosmologysupporting

confidence: 85%

Section: Introductionmentioning

confidence: 94%

“…Hence the energy density reads [13] ρ(y) = g 1 sh 2B (ky)+g 2 sh 2B+2 (ky)+g 3 sh 2B+4 (ky), (16) with sh ≡ sech and…”

Section: A Brief Review Of F (R) Brane Modelsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Information content inF(R)brane models with nonconstant curvature

et al. 2015

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Quasibound and quasinormal modes of a thick brane in Rastall gravity

Tan,

Zhong,

Guo

2024

J. High Energ. Phys.

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In this work, we study the gravitational quasinormal modes of the thick brane in Rastall gravity. Using the asymptotic iteration and direct integration methods, we solve the quasinormal frequencies of the Rastall thick brane. We also obtained the waveforms of these quasinormal modes through numerical evolution. The results indicate that although the Rastall thick brane lacks a bound zero mode, when the Rastall parameter λ ≳ 0, a long-lived quasinormal mode appears. This long-lived quasinormal mode may restore the four-dimensional effective Newtonian potential on the brane on a large scale. This may provide a new perspective for the localization of gravity on thick branes, that a thick brane does not necessarily require the gravity to be localized, perhaps quasi-localized is sufficient.

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Linear stability of f(R, ϕ, X) thick branes: tensor perturbations

Cui

Liu

et al. 2018

J. High Energ. Phys.

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We explore thick branes in f (R, φ, X) gravity. We obtain the linear tensor perturbation equation of f (R, φ, X) branes and show that the branes are stable against the tensor perturbations under the condition of ∂f (R,φ,X) ∂R > 0. In order to obtain thick brane solutions of the fourth-order field equations in this theory, we employ the reconstruction technique. We get exact solutions of the specific f (R, φ, X) thick brane generated by a noncanonical scalar field. It is shown that the zero mode of the graviton for the thick brane is localized under certain conditions. This implies that the four-dimensional Newtonian potential is recovered on the brane. The effects of the Kaluza-Klein modes of the graviton for the f (R, φ, X) thick brane are also discussed.

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Braneworld solutions for F(R) models with non-constant curvature

Cited by 64 publications

References 48 publications

Information content inF(R)brane models with nonconstant curvature

Information content inF(R)brane models with nonconstant curvature

Quasibound and quasinormal modes of a thick brane in Rastall gravity

Linear stability of f(R, ϕ, X) thick branes: tensor perturbations

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