Corrections to Newton’s law of gravitation in the context of codimension-1 warped thick braneworlds

Abstract. We present in this work, the calculations of corrections in the Newton's law of gravitation due to Kaluza-Klein gravitons in five-dimensional warped thick braneworld scenarios. We consider here a recently proposed model, namely, the hybrid Bloch brane. This model couples two scalar fields to gravity and is engendered from a domain wall-like defect. Also, two other models the so-called asymmetric hybrid brane and compact brane are considered. Such models are deformations of the φ 4 and sine-Gordon topological defects, respectively. Therefore we consider the branes engendered by such defects and we also compute the corrections in their cases. In order to attain the mass spectrum and its corresponding eigenfunctions which are the essential quantities for computing the correction to the Newtonian potential, we develop a suitable numerical technique. The calculation of slight deviations in the gravitational potential may be used as a selection tool for braneworld scenarios matching with future experimental measurements in high energy collisions 1. Introduction Phenomenological application to braneworld models is a very interesting current subject. As can be found in detail in the introduction of reference [1], we have recent works in the braneworld branch explaining the process in the meson B decay and in the neutrinos physics, setting bounds into corrections to Coulomb's law and into electrical conductivity. Selecting parameters to the experimental data of the nucleon-nucleus total cross-section of various chemical elements, and interesting applications to black holes and gravitational waves, are other examples.In this view, one of most famous scenarios is the Bloch brane [2]. This smooth model consists in a thick brane generated by two interacting scalar fields which solve several issues in the fields localisation present in thin models [3,4], especially in the context of gauge fields and fermion fields. The Bloch brane allows the existence of internal structures and a rich variety of scalar field deformations. So, there are many other models based on the initial proposal of the Bloch brane, such the degenerate Bloch brane [1] and recently the hybrid Bloch brane [5]. The term "hybrid" comes from the existence of an interval with compact structure [6]. One of the scalar fields that compose the Bloch model is the well-known kink solution, which describes a wide variety of physics phenomena by connecting smoothly two minima. Unlike the kink where the energy density vanishes asymptotically, a compact kink is a linear compact structure, with the energy density that vanishes outside a closed interval [6]. Then, the Bloch brane proposed in the reference [5] is the so-called hybrid, because exhibits a usual thick brane inside an interval and a compact solution outside of this interval. We analyse in this work the gravity localization

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“…Finally, we show the discrete mass spectrum to the Bloch Brane, which has some similarities to hybrid brane model as can be seen in Ref. [8].…”

Section: Discussionsupporting

confidence: 58%

“…In order to obtain the correction to Newton's law on the hybrid Bloch brane scenario, we need to perform the gravity localisation by introducing a small fluctuation h µ,ν ( x, y) in the metric (1) in the form [8]…”

Section: Gravity Localisation and The Correction To Newton's Lawmentioning

confidence: 99%

Corrections to Newton’s law of gravitation - application to hybrid Bloch brane

Almeida

Veras

Dantas

2018

J. Phys.: Conf. Ser.

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“…Indeed, in braneworld models, only the small masses are of physical interest, favouring us the use of the finite differences methods. This technique was used in the braneworld context to attain the massive spectrum in five [47,48] and six dimensions [41][42][43].…”

Section: Numerical Analysis and Experimental Boundsmentioning

confidence: 99%

Graviton KK resonant modes in the correction of Newton's law from six-dimensional braneworlds

Araújo¹,

Veras²,

Dantas³

et al. 2019

EPL

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In this work, we derive an expression for the correction in the Newton's law of gravitation due to the gravitational Kaluza-Klein states in a general thick string-like braneworld scenario in six dimensions. In order to analyze corrections to Newton's law we study the gravity fluctuations in a 3-brane placed in a transverse resolved conifold and use suitable numerical methods to attain the massive spectrum and the corresponding eigenfunctions. Such braneworld model has a resolution parameter which removes the conical singularity.The correction has an exponentially suppressed mass term and depends on the values of the eigenfunctions and warp factors computed at the core peak of the brane. The spectrum is real and monotonically increased, as desired. However, the resolution parameter must assume moderate values to have physically acceptable states. Moreover, the trapped massless mode regains the 4D gravity and it is displaced from the origin, sharing similar profile with the energy density of brane for small values of resolution parameter. Finally, for the singular conifold, we found that a non-first eigenstate is a resonant mode. Such excited state is the largest contributor to corrections in the Newtonian potential.

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“…The present investigation has motivated us to investigate other related issues, and we are now studying the localization of four-dimensional gravity and the Newtonian limit for the case where the brane is embedded in a five-dimensional space [34]; see also Ref. [15]. Another possibility is to investigate the presence of fermions in these asymmetric thick brane models with several scalar fields, to see how the asymmetry and the addition of scalar fields can influence their entrapment.…”

Section: Discussionmentioning

confidence: 99%

New results on asymmetric thick branes

Bazeia

Ferreira

2019

Annals of Physics

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This work deals with the presence and stability of thick brane solutions in the warped five dimensional braneworld scenario with a single extra spatial dimension of infinite extent. We combine two distinct procedures that give rise to new possibilities, allowing that we describe models of asymmetric thick branes, with the asymmetry being controlled by a single real parameter. We illustrate the main results with some distinct models, which show that the method works for both standard and generalized models, and the solutions are gravitationally stable against small perturbations of the metric. * Electronic address:

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Corrections to Newton’s law of gravitation in the context of codimension-1 warped thick braneworlds

Cited by 9 publications

References 64 publications

Corrections to Newton’s law of gravitation - application to hybrid Bloch brane

Corrections to Newton’s law of gravitation - application to hybrid Bloch brane

Graviton KK resonant modes in the correction of Newton's law from six-dimensional braneworlds

New results on asymmetric thick branes

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