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

TL;DR

This paper calculates how Kaluza-Klein gravitons in five-dimensional warped braneworld models, especially the hybrid Bloch brane, modify Newton's law of gravitation, using numerical methods to determine the mass spectrum and corrections.

Contribution

It introduces a numerical approach to compute gravitational corrections in hybrid and deformed brane models derived from scalar field defects.

Findings

Corrections to Newton's law are derived for hybrid Bloch brane models.

Numerical techniques effectively determine the mass spectrum and eigenfunctions.

Results show specific modifications to gravity at small scales.

Abstract

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.