Gravity localization in sine-Gordon braneworlds

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...

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Bibliographic Details
Published in:Annals of physics 2016-01, Vol.364 (Complete), p.25-34
Main Authors: Cruz, W.T., Maluf, R.V., Sousa, L.J.S., Almeida, C.A.S.
Format: Article
Language:English
Subjects:
ASTROPHYSICS, COSMOLOGY AND ASTRONOMY
BRANES
Braneworlds
GRAVITATION
GRAVITONS
Gravity
Gravity localization
M-THEORY
Mass spectrometry
Massive states
POTENTIALS
QUANTUM MECHANICS
Quantum physics
Resonant states
SCALAR FIELDS
SCALARS
SINE-GORDON EQUATION
Sine-Gordon moldes
Studies
Thick brane
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Summary: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.
ISSN:0003-4916
1096-035X
DOI:10.1016/j.aop.2015.10.016