Gravity localization in sine-Gordon braneworlds

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.

Revtex style, 16 pages, 6 figures, improved text, published version

References in corpus (5)

• Fermion Resonances on Multi-field Thick Branes
• Resonance Mass Spectra of Gravity and Fermion on Bloch Branes
• Non-perturbative procedure for stable $K$-brane
• Constructing networks of defects with scalar fields
• Newtonian gravity and resonance on de-Sitter branes

Cited by in corpus (9)

• Multiresonance modes in sine-Gordon brane models
• Kinks and branes in models with hyperbolic interactions
• Models of modified $F(R,T)$ and cuscuton braneworld
• Corrections to Newton's law of gravitation in the context of codimension-1 warped thick braneworlds
• New models for asymmetric kinks and branes
• Configurational entropy of generalized sine-Gordon-type models
• Configurational entropy and Newton's Law in double sine-Gordon braneworlds
• Thick branes via higher order field theory models with exponential and power-law tails
• Novel thick brane solutions with $U(1)$ symmetry breaking