Corrections to Newton's law of gravitation - application to hybrid Bloch
brane

C A S Almeida, D F S Veras, D M Dantas

Published:

We present in this work, the calculations of corrections in the Newton's law
of gravitation due to Kaluza-Klein gravitons in five-dimensional warped thick
braneworld scenarios. We consider here a recently proposed model, namely, the
hybrid Bloch brane. This model couples two scalar fields to gravity and is
engendered from a domain wall-like defect. Also, two other models the so-called
asymmetric hybrid brane and compact brane are considered. As a matter of fact,
these models are obtained from deformations of the phi4 and sine-Gordon
topological defects. Then, we constructed the branes upon such defects, and the
corresponding corrections in Newton's law of gravitation are computed. In order
to attain the mass spectrum and its corresponding eigenfunctions which are the
essential quantities for computing the correction to the Newtonian potential,
we develop a suitable numerical technique.