A quasi-thick codimension 2 braneworld

Kanno, Sugumi; Soda, Jiro

doi:10.1088/1475-7516/2004/07/002

Cited by 55 publications

(51 citation statements)

References 33 publications

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“…[15,16] and its generalizations, i.e., models of Randall-Sundrum (RS) type, are essentially static point-like external sources in the extra dimensions. On the other hand, an increasing interest recently has focused on study of gravitating thick (or fat) defects embedded in higher dimensional space-time with codimension one or more [17,18,19,20,21,22,23]. Our main proposal is to construct a new 3-brane which is described by special classical solutions, i.e., topological solitons of a field-theoretical Lagrangian.…”

Section: Introductionmentioning

confidence: 99%

Localizing gravity on Maxwell gaugedCP1model in six dimensions

2008

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We shall consider about a 3-brane embedded in six-dimensional space-time with a negative bulk cosmological constant. The 3-brane is constructed by a topological soliton solution living in two-dimensional axially symmetric transverse subspace. Similar to most previous works of sixdimensional soliton models, our Maxwell gauged CP 1 brane model can also achieve to localize gravity around the 3-brane. The CP 1 field is described by a scalar doublet and derived from O(3) sigma model by projecting it onto two-dimensional complex space. In that sense, our framework is more effective than other solitonic brane models concerning with gauge theory. We shall also discuss about linear stability analysis for our new model by fluctuating all fields.

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Section: Introductionmentioning

confidence: 99%

Localizing gravity on Maxwell gaugedCP1model in six dimensions

2008

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confidence: 99%

“…However, soon it was realized [3] that one can only find nonsingular solutions if the brane stress tensor is proportional to its induced metric. To obtain the Einstein equation on the brane one has to introduce a cut-off (brane thickness) [4], loosing the predictability of the theory, or alternatively, one can modify the gravitational action by including a Gauss-Bonnet term [5] or a scalar curvature term (induced gravity) on the brane [6].We still lack an understanding of time dependent cosmological solutions in codimension-2 braneworlds. In the thin brane limit, because the energy momentum tensors on the brane and in the bulk are related, we cannot get the standard cosmology on the brane [7,8].…”

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confidence: 99%

Bañados-Teitelboim-Zanelli-Like String on Codimension-2 Braneworlds in the Thin Brane Limit

Cuadros-Melgar

Papantonopoulos²,

Tsoukalas³

et al. 2008

Phys. Rev. Lett.

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We consider five-dimensional gravity with a Gauss-Bonnet term in the bulk and an induced gravity term on a 2-brane of codimension-2. We show that this system admits BTZ black holes on the 2-brane which are extended into the bulk with regular horizons.A growing interest in codimension-2 braneworlds, i.e a brane embedded in a bulk with two extra dimensions, has recently appeared. The most attractive feature of these models is that the vacuum energy (tension) of the brane instead of curving the brane world-volume, merely induces a deficit angle in the bulk around the brane [1]. This property was used to solve the cosmological constant problem [2]. However, soon it was realized [3] that one can only find nonsingular solutions if the brane stress tensor is proportional to its induced metric. To obtain the Einstein equation on the brane one has to introduce a cut-off (brane thickness) [4], loosing the predictability of the theory, or alternatively, one can modify the gravitational action by including a Gauss-Bonnet term [5] or a scalar curvature term (induced gravity) on the brane [6].We still lack an understanding of time dependent cosmological solutions in codimension-2 braneworlds. In the thin brane limit, because the energy momentum tensors on the brane and in the bulk are related, we cannot get the standard cosmology on the brane [7,8]. One then has to regularize the codimension-2 branes by introducing some thickness and then consider matter on them [9,10]. A cosmological evolution on the regularized branes requires an expanding brane world-volume and in general also a time evolving bulk. An alternatively approach was followed in [11] by considering a codimension-1 brane moving in the regularized static background. The resulting cosmology, however, was unrealistic having a negative Newton's constant (for a review see [12]).Moreover, the issue of localization of a black hole on the brane and its extension to the bulk is not fully understood. In codimension-1 braneworlds, a first attempt was to consider the black string extension in the bulk of a Schwarzschild metric [13]. Unfortunately, this string is unstable to classical linear perturbations [14] (for a review see [15]). Further attempts deal with the Einstein equations projected on the brane, which include an unknown bulk dependent term, the Weyl tensor projection. Due to this reason the system is not closed, and some assumptions have to be made either in the form of the metric or in the Weyl term [16]. The stability and thermodynamics of these solutions were worked out in [17].A lower dimensional version of a black hole living on a (2+1)-dimensional braneworld was considered in [18] by Emparan, Horowitz, and Myers. They based their analysis on the so-called C-metric [19] modified by a cosmological constant term. They found a BTZ black hole [20] on the brane which can be extended as a BTZ string in a four-dimensional AdS bulk. Their thermodynamical stability analysis showed that the black string remains a stable configuration when its transverse size is compara...

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“…A high number of the works in six dimensions refer to the scenarios where the brane has cylindrical symmetry, the so-called string-like braneworlds, which is associated to topological defects. Some of these six dimensional models are classified as global string [6,8,11], the local string [12][13][14], thick string [16,17,[19][20][21][22] and supersymmetric cigaruniverse [23]. Also, the work proposed here is a generalization of the RS model for six dimensional space-time.…”

Section: Introductionmentioning

confidence: 99%

Six-dimensional standing-wave braneworld with normal matter as source

2014

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A six dimensional standing wave braneworld model has been constructed. It consists in an anisotropic 4-brane generated by standing gravitational waves whose source is normal matter. In this model, the compact (on-brane) dimension is assumed to be sufficiently small in order to describe our universe (hybrid compactification). The bulk geometry is non-static, unlike most of the braneworld models in the literature. The principal feature of this model is the fact that the source is not a phantom like scalar field, as the original standing-wave model that was proposed in five dimensions and its six dimensional extension recently proposed in the literature. Here, it was obtained a solution in the presence of normal matter what assures that the model is stable. Also, our model is the first standing wave brane model in the literature which can be applied successfully to the hierarchy problem. Additionally, we have shown that the zero-mode for the scalar and fermionic fields are localized around the brane. Particularly for the scalar field we show that it is localized on the brane, regardless the warp factor is decreasing or increasing. This is in contrast to the case of the local string-like defect where the scalar field is localized for a decreasing warp factor only.

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A quasi-thick codimension 2 braneworld

Cited by 55 publications

References 33 publications

Localizing gravity on Maxwell gaugedCP1model in six dimensions

Localizing gravity on Maxwell gaugedCP1model in six dimensions

Bañados-Teitelboim-Zanelli-Like String on Codimension-2 Braneworlds in the Thin Brane Limit

Six-dimensional standing-wave braneworld with normal matter as source

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