Mass gap for gravity localized on Weyl thick branes

Understand

We study the properties of a previously found family of thick brane configurations in a pure geometric Weyl integrable 5D space time, a non-Riemannian generalization of Kaluza-Klein (KK) theory involving a geometric scalar field.

• Thus the 5D theory describes gravity coupled to a self-interacting scalar field which gives rise to the structure of the thick branes.
• Analyzing the graviton spectrum for this class of models, we find that a particularly interesting situation arises for a special case in which the 4D graviton is separated from the KK gravitons by a mass gap.
• The corresponding effective Schroedinger equation has a modified Poeschl-Teller potential and can be solved exactly.