de Sitter thick brane solution in Weyl geometry

Abstract

In this paper, we consider a de Sitter thick brane model in a pure geometric Weyl integrable five-dimensional space-time, which is a generalization of Riemann geometry and is invariant under a so-called Weyl rescaling. We find a solution of this model via performing a conformal transformation to map the Weylian structure into a familiar Riemannian one with a conformal metric. The metric perturbations of the model are discussed. For gravitational perturbation, we get the effective modified Pöschl-Teller potential in corresponding Schrödinger equation for Kaluza-Klein (KK) modes of the graviton. There is only one bound state, which is a normalizable massless zero mode and represents a stable 4-dimensional graviton. Furthermore, there exists a mass gap between the massless mode and continuous KK modes. We also find that the model is stable under the scalar perturbation in the metric. The correction to the Newtonian potential on the brane is proportional to e −3rβ/2 /r 2 , where β is the de Sitter parameter of the brane. This is very different from the correction caused by a volcano-like effective potential.

Braneworld in f(T) gravity theory with noncanonical scalar matter field

“…In addition, there are also braneworld models without matter fields [14,29,30]. The standard model fields in the bulk can be localized near the brane [6, 11,[31][32][33][34].The braneworld was also studied in different modified gravity theories, for example, the scalar-tensor gravity theory [35][36][37][38][39][40][41][42][43][44], the metric f (R) gravity theory [45][46][47] and the Palatini f (R) theory [48,49]. As f (T ) gravity theory came up as an alternative to dark energy for the explanation of the acceleration of the universe [50], it was then widely investigated [51][52][53][54][55].…”

Introduction to Extra Dimensions and Thick Braneworlds

“…These massive KK modes give us the possibility of probing extra dimensions through their interactions with particles in the Standard Model [142][143][144][145][146][147][148]. Localization and resonances of various bulk matter fields on a brane have been investigated in five-dimensional brane models [17,46,55,84,138,139, and six-dimensional ones [151,[190][191][192][193][194][195][196]. In this section we will review some works about localization of bulk matters on thick branes with the following metric…”

Localization and mass spectrum of q -form fields on branes

“…We also consider a bulk 3-form field. Then with the solution of the warp factor (21), the shapes of the effective potentials (22) and (23) in this brane model are shown in Fig. 3(a) with d = 1, b = 6, δ 0 = 25.…”