Regular Article - Theoretical Physics
A smoothed string-like braneworld in six dimensions
Departamento de Física, Universidade Federal do Ceará, C.P. 6030, Fortaleza, Ceará, 60455-760, Brazil
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Accepted: 9 March 2015
Published online: 17 March 2015
We propose a static and axisymmetric braneworld in six dimensions as a string-like model extension. For a subtle warp function, this scenario provides near brane corrections. By varying the bulk cosmological constant, we obtain a source which passes through different phases. The solution is defined both for the interior and for the exterior of the string and satisfies all the energy conditions. A smoothed gravitational massless mode is localized on the brane, of which the core is displaced from the origin. In contrast to the thin-string model, the massive solutions have a high amplitude near the brane. Furthermore, by means of an analog quantum potential analysis, we show that only s-wave gravitational Kaluza–Klein modes are permissible.
© SIF and Springer-Verlag Berlin Heidelberg, 2015