Tensor perturbations of <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>-branes

Zhong, Yuan; Liu, Yu-Xiao; Yang, Ke

doi:10.1016/j.physletb.2011.04.037

Cited by 58 publications

(31 citation statements)

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“…However, the stability of f (T ) brane system is still unknown. In this paper we will focus on this issue and analyse the localization of the graviton zero mode, which is an important issue in brane model since it will ensure the four-dimensional Newtonian potential on the brane [28,[53][54][55][56][57][58][59][60][61][62][63][64][65][66][67]. This paper is organised as follows.…”

Section: Introductionmentioning

confidence: 99%

Tensor perturbations off(T)branes

2016

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We explore the tensor perturbation of the f (T ) brane embedded in an AdS5 spacetime. With the transverse-traceless condition, we get the tensor perturbation equation of the f (T ) brane and show that the stability of this brane system can be ensured. In addition, we take f (T ) = T + αT 2 as an example to analyse the localization problem of the graviton zero mode. It is shown that the graviton zero mode can be localized on the brane.

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Section: Introductionmentioning

confidence: 99%

Tensor perturbations off(T)branes

2016

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“…For example, in f (R) gravity (see [19][20][21] for comprehensive reviews on f (R) gravity and its applications in cosmology), the effective potential is determined by both the warp factor and the form of f (R) (see Ref. [22] for details). So, in principle, graviton resonances can be turned on by tuning gravity.…”

Section: Introductionmentioning

confidence: 99%

“…However, in Ref. [22], the authors found that the tensor perturbation equation can be finally rewritten as a second order Schrödinger-like equation. The results of Ref.…”

Section: Introductionmentioning

confidence: 99%

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The structure of f(R)-brane model

Zhong

et al. 2015

Eur. Phys. J. C

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Recently, a family of interesting analytical brane solutions were found in f (R) gravity with f (R) = R + α R 2 in Bazeia et al. (Phys Lett B 729:127 2014). In these solutions, the inner brane structure can be turned on by tuning the value of the parameter α. In this paper, we investigate how the parameter α affects the localization and the quasilocalization of the tensorial gravitons around these solutions. It is found that, in a range of α, despite the brane having an inner structure, there is no graviton resonance. However, in some other regions of the parameter space, although the brane has no internal structure, the effective potential for the graviton Kaluza-Klein (KK) modes has a singular structure, and there exist a series of graviton resonant modes. The contribution of the massive graviton KK modes to Newton's law of gravity is discussed briefly.

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“…In the case of f (R) theories, the only investigation was presented in [15], where authors considered a flat thick domain wall branes supplemented with f (R) gravity. Nonetheless the full calculation of tensor perturbations for f (R) theories in metric formalism has never been presented before.…”

Section: Introductionmentioning

confidence: 99%

Cosmological tensor perturbations in theories beyond ΛCDM

Abdelwahab¹,

Cruz-Dombriz²,

Dunsby³

2013

AIP Conference Proceedings

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Abstract. We study for the first time a complete analysis of the imprint of tensor anisotropies on the Cosmic Microwave Background for a class of f (R) gravity theories within the CAMB-PPF framework. Herein we present the most relevant equations, both for the cosmological background and gravitational wave perturbations, taking care to include all effects which arise from f (R) modifications. We find that that the dominant contribution to deviations from General Relativity in the temperature and polarization spectra can be attributed to modifications in the background. This demonstrates the importance of using the correct background in perturbative studies of f (R) gravity.

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Tensor perturbations of f(R)-branes

Cited by 58 publications

References 58 publications

Tensor perturbations off(T)branes

Tensor perturbations off(T)branes

The structure of f(R)-brane model

Cosmological tensor perturbations in theories beyond ΛCDM

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