Gravity localization in sine-Gordon braneworlds

TL;DR

This paper investigates how sine-Gordon potentials in five-dimensional braneworld models influence graviton localization and the emergence of massive resonant modes, highlighting the role of internal brane structure.

Contribution

It introduces two sine-Gordon potential-based braneworld models and analyzes graviton localization, revealing the impact of internal structure on massive resonant modes.

Findings

Zero mode graviton is localized in the sine-Gordon model.

Double sine-Gordon potential allows massive resonant states.

Internal brane structure facilitates the emergence of resonant modes.

Abstract

In this work we study two types of five-dimensional braneworld models given by sine-Gordon potentials. In both scenarios, the thick brane is generated by a real scalar field coupled to gravity. We focus our investigation on the localization of graviton field and the behaviour of the massive spectrum. In particular, we analyse the localization of massive modes by means of a relative probability method in a Quantum Mechanics context. Initially, considering a scalar field sine-Gordon potential, we find a localized state to the graviton at zero mode. However, when we consider a double sine-Gordon potential, the brane structure is changed allowing the existence of massive resonant states. The new results show how the existence of an internal structure can aid in the emergence of massive resonant modes on the brane.