Localization Problem in the 5d Standing Wave Braneworld

The class of non-stationary braneworld models generated by the coupled gravitational and scalar fields is reviewed. The model represents a brane in a space-time with single time and one large (infinite) and several small (compact) space-like extra dimensions. In some particular cases the model has the solutions corresponding to the bulk graviscalar standing waves bounded by the brane. Pure gravitational localization mechanism of matter particles on the node of standing waves, where the brane is placed, is discussed. Cosmological applications of the model also considered.

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“…The asymptotic solutions to the time averaged 5D Dirac equation for the extra dimension factors λ(r) and ρ(r) are: 40,41…”

Section: Localization Of Massless Fermionsmentioning

confidence: 99%

Standing waves braneworlds

Gogberashvili

Mantidze

Sakhelashvili

et al. 2016

Int. J. Mod. Phys. D

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“…It is known that the transverse traceless graviton modes obey the equations similar to the massless scalar fields in a curved background. Accordingly, the condition of localization of spin-2 graviton field is equivalent to that of scalar field considered above [13,14].…”

Section: Localization Of Bosonsmentioning

confidence: 99%

“…Now we investigate the localization problem for massless fermions [13,14]. For Minkowskian 4 × 4 gamma matrices we use the Weyl basis,…”

Section: Localization Of Fermionsmentioning

confidence: 99%

Numerical Solutions in 5d Standing Wave Braneworld

2013

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Within the 5D standing wave braneworld model numerical solutions of the equations for matter fields with various spins are found. It is shown that corresponding action integrals are factorizable and convergent over the extra coordinate, i.e. 4D fields are localized on the brane. We find that only left massless fermions are localized on the brane, while the right fermions are localized in the bulk. We demonstrate also quantization of Kaluza-Klein excited modes in our model.

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“…One of the 5D braneworld models with non-stationary metric coefficients was proposed by one of us in [11][12][13][14] (for the generalization to 6D case see [15,16]). In this scenario the braneworld was generated by standing gravitational waves coupled to a phantom-like bulk scalar field, rapid oscillations of these waves provide universal gravitational trapping of zero modes of all kinds of matter fields on the brane [17][18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%

The 5D Standing Wave Braneworld with Real Scalar Field

Gogberashvili¹,

Midodashvili²

2013

Advances in High Energy Physics

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We introduce the new 5D braneworld with the real scalar field in the bulk. The model represents the brane which bounds collective oscillations of gravitational and scalar field standing waves. These waves are out of phase, i.e. the energy of oscillations passes back and forth between the scalar and gravitational waves. When the amplitude of the standing waves is small the brane width and the size of the horizon in extra space are of a same order of magnitude, and matter fields are localized in extra dimension due to the presence of the horizon. When oscillations are large trapping of matter fields on the brane is provided mainly by the pressure of bulk waves. It is shown that in this case the mass of the lightest KK mode is determined by the smaller energy scale corresponding to the horizon size, i.e. these modes can be created in accelerators at relatively low energies, which gives a chance to check the present model.

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Localization Problem in the 5d Standing Wave Braneworld

Cited by 18 publications

References 78 publications

Standing waves braneworlds

Standing waves braneworlds

Numerical Solutions in 5d Standing Wave Braneworld

The 5D Standing Wave Braneworld with Real Scalar Field

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