Eur. Phys. J. C (2011) 71: 1709
https://doi.org/10.1140/epjc/s10052-011-1709-z

Regular Article - Theoretical Physics

Resonances in gravitational scenario given by deformed branes

¹ Instituto Federal de Educação, Ciência e Tecnologia do Ceará (IFCE), Campus Juazeiro do Norte, 63040-000, Juazeiro do Norte, Ceará, Brazil
² Departamento de Física, Universidade Federal do Ceará, C.P. 6030, 60455-760, Fortaleza, Ceará, Brazil

^* e-mail: carlos@fisica.ufc.br

Received: 26 January 2010
Revised: 28 April 2011
Published online: 30 July 2011

Abstract

In this work we examine a five-dimensional brane-world model with brane structure driven by a real scalar field. From the deformation of a kink-like defect we find a new class of brane solutions containing internal structures which have implications for the way the background space-time is constructed and the way its curvature behaves. Initially, for spin 0 scalar field, we find a zero mode which can be localized on the deformed brane. However, this result can change by the gravitational interaction with the brane internal structure. Analyzing the massive modes of the scalar field, using two different methods, we find resonance structures similar to those found in the study of gravity localization. The main objective here is to observe the contributions of the deformation procedure to the resonances and to the well known field localization methods.