Localization of fields on a brane in six dimensions

Gogberashvili, Merab; Midodashvili, Pavle

doi:10.1209/epl/i2003-00324-1

Cited by 41 publications

(56 citation statements)

References 21 publications

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“…It should be noted that the enumerated models in which the coefficients by η μν (frequently called warp factors) decay as one moves away from the brane, so successfully used for the description of localized gravity, are not free of problems with non-gravitational matter localization [72,93,[98][99][100][101][102]. It has been shown, in particular, that in all Z 2 -symmetric 5D models with a single brane (i.e., all RS2 type models), any scalar field mode has an infinite energy per unit volume on the brane since the corresponding integral over the fifth dimension diverges [72].…”

Section: Discussionmentioning

confidence: 99%

Brane World Corrections to Newton’s Law

2006

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We discuss possible variations of the effective gravitational constant with length scale, predicted by most of alternative theories of gravity and unified models of physical interactions. After giving a brief general exposition, we review in more detail the predicted corrections to Newton's law of gravity in diverse brane world models. We consider various configurations in 5 dimensions (flat, de Sitter and AdS branes in Einstein and Einstein-Gauss-Bonnet theories, with and without induced gravity and possible incomplete graviton localization), 5D multi-brane systems and some models in higher dimensions. A common feature of all models considered is the existence of corrections to Newton's law at small radii comparable with the bulk characteristic length: at such radii, gravity on the brane becomes effectively multidimensional. Many models contain superlight perturbation modes, which modify gravity at large scale and may be important for astrophysics and cosmology.

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Section: Discussionmentioning

confidence: 99%

Brane World Corrections to Newton’s Law

2006

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“…The trapping of various kinds of matter fields on single or multi branes are also discussed for both thin and thick branes [12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31].…”

Section: Introductionmentioning

confidence: 99%

Tensor perturbations of f(R)-branes

2011

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We analyze the tensor perturbations of flat thick domain wall branes in f (R) gravity. Our results indicate that under the transverse and traceless gauge, the metric perturbations decouple from the perturbation of the scalar field. Besides, the perturbed equation reduces to the familiar Klein-Gordon equation for massless spin-2 particles only when the bulk curvature is a constant or when f (R) = R. As an application of our results, we consider the possibility of localizing gravity on some flat thick branes. The stability of these brane solutions is also shortly discussed.

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“…where ͱϪ 6 g is the determinant, M is the fundamental scale, 6 R is the scalar curvature, ⌳ is the cosmological constant, and L is the Lagrangian of matter fields. All of these quantities are six dimensional.…”

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confidence: 99%

Brane in 6D with an increasing gravitational trapping potential

2004

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A new solution to the Einstein equations in 1ϩ5 spacetime with an embedded 1ϩ3 brane is given. This solution localizes the zero modes of all kinds of matter fields and four-gravity on the ͑1ϩ3͒ brane by an increasing, transverse gravitational potential. This localization occurs despite the fact that the gravitational potential is not a decreasing exponential, and asymptotically approaches a finite value rather than zero. DOI: 10.1103/PhysRevD.69.026004 PACS number͑s͒: 11.25.Wx, 04.50.ϩh, 11.10.Kk, 98.80.Cq The main question of brane models is how to localize fields on the brane. To localize multidimensional fields on the brane the effective ''coupling'' constants appearing after integration of the Lagrangian over the extra coordinates must be nonvanishing and finite. For reasons of economy one would like to have a single, universal trapping mechanism that works for all fields. It is natural to try gravitational trapping of the physical fields on the brane, since gravity is known to have a universal coupling with all matter fields.In ͑1ϩ4͒-dimensional models the following results were established: spin 0 and spin 2 fields are localized on the brane with a decreasing, exponential gravitational warp factor, spin 1/2 fields are localized on the brane with an increasing warp factor ͓1,2͔, and spin 1 fields are not localized at all ͓3͔. For the case of 1ϩ5 dimensions it was found that spin 0, 1 and 2 fields are localized on the brane with a decreasing warp factor and spin 1/2 fields are localized on the brane with an increasing warp factor ͓5͔. So in both ͑1ϩ4͒-and ͑1ϩ5͒-space models one is required to introduce some nongravitational interaction in order to localize the standard model particles.Here we want to show that zero modes of spin 0, 1/2, 1, and 2 fields can all be localized on the brane in a 1ϩ5 space by an increasing warp factor which is not an exponential. A similar solution for a ͑2ϩ4͒-signature metric was found in previous work ͓6͔. Having a growing gravitational potential ͑warp factor͒ is opposite to the choice of the RandallSundrum model where the warp factor maximum is on the brane ͓1͔. However, Newton's law still holds on the brane as a result of the cancellation mechanism introduced in ͓4͔ which allows both increasing and decreasing types of gravitational potential.The action of the gravitating system in six dimensions can be written in the formwhere ͱϪ 6 g is the determinant, M is the fundamental scale, 6 R is the scalar curvature, ⌳ is the cosmological constant, and L is the Lagrangian of matter fields. All of these quantities are six dimensional. Einstein's six-dimensional equations with stress-energy tensor T AB are R AB Ϫ 1 2 g AB 6 Rϭ 1 M 4 ͑ ⌳g AB ϩT AB ͒. ͑2͒

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Localization of fields on a brane in six dimensions

Abstract: Universe is considered as a brane in infinite (2+4)-space. It is shown that zero modes of all kinds of matter fields and 4-gravity are localized on the brane by increasing transversal gravitational potential.

Cited by 41 publications

References 21 publications

Brane World Corrections to Newton’s Law

Brane World Corrections to Newton’s Law

Tensor perturbations of f(R)-branes

Brane in 6D with an increasing gravitational trapping potential

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