Graviton resonances on deformed branes
Instituto Federal de Educação, Ciência e Tecnologia do Ceará (IFCE), Campus Juazeiro do Norte 63040-000 Juazeiro do Norte, Ceará, Brazil
2 Instituto Federal do Maranhão, Campus Monte Castelo - São Luís, Maranhão, Brazil
3 Departamento de Física, Universidade Federal do Ceará - C.P. 6030, 60455-760 Fortaleza, Ceará, Brazil
Accepted: 7 September 2011
Plane-wave solutions of Schrödinger-like equations obtained from the metric perturbations in 5D braneworld scenarios can present resonant modes. The search for those structures is important because they can provide us with massive modes with not suppressed couplings with the membrane. We propose in this paper the study of graviton Kaluza-Klein spectrum in a special kind of membrane that possesses internal structure. The interest in the study of these deformed defects is due to the fact that they have a richer internal structure that has implications in the matter energy density along the extra dimensions and this produces a space-time background whose curvature has a splitting, if compared to the usual kink-like models. Such models arise from (4, 1)-branes constructed with one scalar field coupled with gravity where we find two-kink solutions from deformations of a φ4 potential. The main objective of this work is to observe the effects of deformation process in the resonant modes as well as in the coupling between the graviton massive modes and the brane.
PACS: 11.10.Kk – Field theories in dimensions other than four / 11.27.+d – Extended classical solutions; cosmic strings, domain walls, texture / 04.50.-h – Higher-dimensional gravity and other theories of gravity
© EPLA, 2011