Gravity Localization and Effective Newtonian Potential for Bent Thick Branes

TL;DR

This paper studies gravity localization and the Newtonian potential corrections on bent thick branes, revealing distinct $1/r^2$ corrections that differ from the Randall-Sundrum model, with implications for higher-dimensional gravity theories.

Contribution

It provides an analysis of gravity KK modes and Newtonian potential corrections specifically for de Sitter and Anti-de Sitter thick branes, highlighting differences from existing models.

Findings

Gravity KK modes are localized on bent thick branes.

Newtonian potential corrections are proportional to 1/r^2 at small distances.

Corrections differ significantly from the Randall-Sundrum model.

Abstract

In this letter, we first investigate the gravity localization and mass spectrum of gravity KK modes on de Sitter and Anti-de Sitter thick branes. Then, the effective Newtonian gravitational potentials for these bent branes are discussed by the two typical examples. The corrections of the Newtonian potential turns out to be $\Delta U(r)\sim 1/r^{2}$ at small $r$ for both cases. These corrections are very different from that of the Randall-Sundrum brane model $\Delta U(r)\sim 1/r^{3}$.