Abstract
This work deals with gravity localization on codimension-1 brane worlds
engendered by compacton-like kinks, the so-called hybrid branes. In such
scenarios, the thin brane behavior is manifested when the extra
dimension is outside the compact domain, where the energy density is
non-trivial, instead of asymptotically as in the usual thick brane
models. The zero mode is trapped in the brane, as required. The massive
modes, although not localized in the brane, have important
phenomenological implications such as corrections to the Newton's law.
We study such corrections in the usual thick domain wall and in the
hybrid brane scenarios. By means of suitable numerical methods, we
attain the mass spectrum for the graviton and the corresponding
wavefunctions. The spectra possess the usual linearly increasing
behavior from the Kaluza-Klein theories. Further, we show that the 4D
gravitational force is slightly increased at short distances. The first
eigenstate contributes highly for the correction to the Newton's law.
The subsequent normalized solutions have diminishing contributions.
Moreover, we find out that the phenomenology of the hybrid brane is not
different from the usual thick domain wall. The use of numerical
techniques for solving the equations of the massive modes is useful for
matching possible phenomenological measurements in the gravitational law
as a probe to warped extra dimensions. (C) 2016 The Authors. Published
by Elsevier B.V.
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