Internal structure of cuscuton Bloch brane

Abstract

This work deals with thick branes in bulk with a single extra dimension modeled by a two-field configuration. We first consider the inclusion of the cuscuton to also control the dynamics of one of the fields and investigate how it contributes to change the internal structure of the configuration in two distinct situations, with the standard and the asymmetric Bloch brane. The results show that the branes get a rich internal structure, with the geometry presenting a novel behavior which is also governed by the parameter that controls the strength of the cuscuton term. We also study the case where the dynamics of one of the two fields is only described by the cuscuton. All the models support analytical solutions which are stable against fluctuations in the metric, and the main results unveil significant modifications in the warp factor and energy density of the branes.

K-field kinks in two-dimensional dilaton gravity

“…The cuscuton term may also lead to the creation of inner structure (or milti-peak structure) of the energy density T 00 , as shown in Ref. [61]. In the present model, however, we did not observe this phenomenon within our parameter range, see Fig.…”

“…This model has been studied previously in the context of 5D thick brane model [59,60,61], where analytical thick brane solutions were obtained. Hopefully, similar stable self-gravitating kink solutions might be obtained in the present 2D model.…”

“…Following Refs. [59,60,61], we apply the superpotential method to construct exact kink solutions of Eqs. ( 40)- (41).…”

Thick brane in f(T,B) gravity

“…As seen in Ref. [77], the existence of such structures in low-dimensional models coupled by gauge fields lead to the existence of structures with superconducting properties. In the study of cosmic strings the internal structures are related to the presence of superconducting strings (see for example [78][79][80]).…”

Models of modified F(R,T) and cuscuton braneworld

“…Models with modification in the interaction and dynamics of scalar fields have also presented new characteristics such as split behavior [21] and compactification of the brane [25]. Recently, brane models with modified dynamics with the cuscuton term were investigated in the context of standard gravitation leading to new split behavior in warp factor [26,27]. In Ref.…”