Localization of scalar and tensor fields in the standing wave braneworld with increasing warp factor

Abstract

We investigate scalar and tensor fields in the brane model solution for the 5D spacetime with standing gravitational waves in the bulk and show that even in the case of increasing warp factor there exist normalizable zero modes localized on the brane.

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

“…On the other hand, studies of field localization are very common in the literature in 5D [30][31][32][33][34][35] and 6D braneworld [6,7,12,14,[26][27][28]. In general, we find strategies of localization for all the Standard Model fields but the way that this localization is possible varies in different works.…”

“…This is a completely anisotropic braneworld model whose source is a phantomlike scalar (a scalar field with a wrong sign in front of the kinetic term in the Lagrangian). To avoid the problem with instability, normally presented in theory with phantom scalar, the model is embedded in a 5D Weyl geometry in such a way that the phantom-like scalar may be associated with the Weyl scalar [30,31,46], which is stable. About the Weyl scalar, we may point out their presence also in other braneworld scenarios like the pure-gravity, which is an extension of the RS model.…”

“…About the Weyl scalar, we may point out their presence also in other braneworld scenarios like the pure-gravity, which is an extension of the RS model. In the context of field localization in the standing wave approach, it was possible to localize several fields in five dimensions, albeit the right-handed fermions were not localized neither in increasing nor decreasing warp geometry [30,31]. It is worthwhile to mention that the models generated by phantom-like scalar are relevant phenomenologically since this exotic source is useful in different scenarios like cosmology [25], where the phantom scalar is used to explain dark energy theories and the accelerated expansion of the universe [47].…”

“…The bulk is completely anisotropic, unless for some points called the AdS islands [30,31]. Its dynamics, as in the case of the works of Gogberashvili and collaborators and its extensions, represents a special feature in the sense that both metric and source are time dependent.…”

Localization of gauge bosons in the 5D standing wave braneworld

“…One of the classical analogs of this trapping mechanism is the so-called optical lattice with standing electromagnetic waves [14]. The explicit localization of scalar and tensor field zero modes in standing wave braneworld with the increasing warp factor was demonstrated in our previous paper [15].…”