Gravity localization on thick branes: a numerical approach

TL;DR

This paper presents a numerical method to analyze gravity localization on thick branes, enabling the study of massive modes and their effects even when the potential is not analytically known.

Contribution

A new numerical approach for investigating gravity localization on thick branes, applicable to models with unknown Schrödinger potentials.

Findings

Method successfully applied to models with known and unknown potentials

Identified conditions for gravity localization

Quantified corrections to Newtonian gravity

Abstract

We introduce a numerical procedure to investigate the spectrum of massive modes and its contribution for gravity localization on thick branes. After considering a model with an analytically known Schroedinger potential, we present the method and discuss its applicability. With this procedure we can study several models even when the Schroedinger potential is not known analytically. We discuss both the occurrence of localization of gravity and the correction to the Newtonian potential given by the massive modes.