A smoothed string-like braneworld in six dimensions

Araújo, Joana Cláudia Bezerra de; Silva, J. E. G.; Veras, D. F. S.; Almeida, C. A. S.

doi:10.1140/epjc/s10052-015-3350-8

Cited by 4 publications

(18 citation statements)

References 42 publications

(78 reference statements)

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“…Fortunately, the so-called matrix method [45] is an efficient numerical method for solving Sturm-Liouville problems. In the braneworld context, this technique was successfully applied in codimension-2 models [46][47][48][49] and recently, in the symmetric hybrid brane model [25].…”

Section: Numerical Resultsmentioning

confidence: 99%

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

Veras

Almeida

2017

Phys. Rev. D

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In this work, we compute the corrections in the Newton's law of gravitation due to Kaluza-Klein gravitons in codimension-1 warped thick braneworld scenarios. We focus in some models recently proposed in the literature, the so-called asymmetric hybrid brane and compact brane. 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. We use suitable numerical techniques to attain the mass spectrum and its corresponding eigenfunctions which are the essential quantities for computing the correction to the Newtonian potential. Moreover, we discuss that the existence of massive modes is necessary for building a braneworld model with a phenomenology involved. We find that the odd eigenfunctions have non-trivial contributions and the first eigenstate of the Kaluza-Klein tower has the highest contribution. 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.

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Section: Numerical Resultsmentioning

confidence: 99%

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

Veras

Almeida

2017

Phys. Rev. D

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“…4. Concerning the HC scenario, wherein all metric conditions (4) hold, the dominant energy condition t 0 ≥ |t i | , (i = r, θ) [29,30,40] In the next section, we shall analyze these string models from the CE point of view.…”

Section: String-like Defect In Warped Six Dimensionsmentioning

confidence: 99%

“…Nevertheless, the SD model is a thin model and it leads to some irregularities [27]. Due to it, some 6D thick models were proposed to solve these remaining issues [28][29][30][31][32][33][34][35][36][37][38][39][40][41][42]. In Ref.…”

Section: Introductionmentioning

confidence: 99%

Bounds on topological Abelian string-vortex and string-cigar from information-entropic measure

et al. 2016

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In this work we obtain bounds on the topological Abelian string-vortex and on the string-cigar, by using a new measure of configurational complexity, known as configurational entropy. In this way, the information-theoretical measure of six-dimensional braneworlds scenarios are capable to probe situations where the parameters responsible for the brane thickness are arbitrary. The socalled configurational entropy (CE) selects the best value of the parameter in the model. This is accomplished by minimizing the CE, namely, by selecting the most appropriate parameters in the model that correspond to the most organized system, based upon the Shannon information theory. This information-theoretical measure of complexity provides a complementary perspective to situations where strictly energy-based arguments are inconclusive. We show that the higher the energy the higher the CE, what shows an important correlation between the energy of the a localized field configuration and its associated entropic measure.

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“…Although the thin string-like model has prominent advantages over the domain-wall models, it does not satisfy all the regularity conditions inside the core of the defect and the dominant energy condition as well [26]. However, these issues are overcome in the thick string-like models [27][28][29][30][31][32]. The transverse manifold possesses its own internal symmetries, which exert influences on the geometrical and physical properties of the braneworld model [33,34].…”

Section: Introductionmentioning

confidence: 99%

“…Moreover, the geometric flow provided by the resolution parameter changes the properties of the analogue quantum potential for the KK massive states. An important issue in the thick string-like braneworld scenarios concerns with the core of the brane, which has its maximum displaced from the origin [27,[30][31][32].…”

Section: Introductionmentioning

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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A smoothed string-like braneworld in six dimensions

Cited by 4 publications

References 42 publications

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

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

Bounds on topological Abelian string-vortex and string-cigar from information-entropic measure

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

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