Localization and mass spectra of various matter fields on Weyl thin brane

Abstract

It has been shown that the thin brane model in a five-dimensional Weyl gravity can deal with the wrongsigned Friedmann-like equation in the Randall-Sundrum-1 (RS1) model. In the Weyl brane model, there are also two branes with opposite brane tensions, but the four-dimensional graviton (the gravity zero mode) is localized near the negative tension brane, while our four-dimensional universe is localized on the positive tension brane. In this paper, we consider the mass spectra of various bulk matter fields (i.e., scalar, vector, and fermion fields) on the Weyl brane. It is shown that the zero modes of those matter fields can be localized on the positive tension brane under some conditions. The mass spectra of the bulk matter fields are equidistant for the higher excited states, and relatively sparse for the lower excited states. The size of the extra dimension determines the gap of the mass spectra. We also consider the correction to the Newtonian potential in this model and it is proportional to 1/r 3 .

Torsion braneworlds in a tensor-vector gravity

“…For a particular choice of the Weyl scalar potential, thick brane solutions were found in this vacuum Weyl spacetime [19][20][21][22]. This integrable Weyl braneworld share many properties with the Einstein-dilaton brane models [23]. Moreover, Weyl geometries are vacuum sources for bouncing cosmologies [24].…”

Introduction to Extra Dimensions and Thick Braneworlds

“…It is easy to show that the zero mode of the graviton can be localized on the brane for the above mentioned solutions. Furthermore, there were some related work in other gravity theories, such as Weyl (pure geometrical) gravity [134][135][136][137][138][139] and critical gravity [140,141].…”