Gravity induced over a smooth soliton

TL;DR

This paper explores how gravity behaves over a smooth, finite-thickness soliton, revealing a crossover from four-dimensional to five-dimensional behavior at a specific distance, serving as a regularization of the Dvali-Gabadadze-Porrati model.

Contribution

It introduces a model where gravity over a smooth soliton exhibits a crossover behavior, providing a finite thickness brane regularization of the Dvali-Gabadadze-Porrati model.

Findings

Crossover distance $r_c$ between 4D and 5D gravity identified

Suppressed couplings of Kaluza-Klein modes to localized matter

Finite thickness soliton regularizes the brane model

Abstract

I consider gravity induced over a smooth (finite thickness) soliton. Graviton kinetic term is coupled to bulk scalar that develops solitonic vacuum expectation value. Couplings of Kaluza-Klein modes to soliton-localized matter are suppressed, giving rise to crossover distance $r_c=M_{P}^2/M_{*}^3$ between 4D and 5D behavior. This system can be viewed as a finite thickness brane regularization of the model of Dvali, Gabadadze and Porrati.