Brane World in Generalized Gravity

TL;DR

This paper explores the robustness of the Randall-Sundrum brane world model within generalized gravity theories, demonstrating gravity localization's dependence on configuration details and its resilience to certain quantum corrections, while also connecting hierarchy mechanisms to inflation models.

Contribution

It extends the RS model to generalized gravities, analyzes gravity localization, and compares hierarchy solutions to inflation models.

Findings

Gravity localization occurs in generic generalized gravity setups.

RS model remains robust against small quantum gravity corrections.

Hierarchy mechanisms in RS model relate to inflation types.

Abstract

We consider Randall-Sundrum(RS) model in generalized gravities and see that the localization of gravity happens in generic situations though its effectiveness depends on the details of the configuration. It is shown that RS picture is robust against quantum gravity corrections ($\phi \R$) as long as the correction is reasonably small. We extend our consideration to the model of scalar(dilaton) coupled gravity which leads us to the specific comparison between RS model and inflation models. The exponential and power law hierarchy in RS model are shown to correspond to the exponential and power law inflation respectively.