Effective potential in Brane-World scenarios

TL;DR

This paper reviews radion stabilization in the Randall-Sundrum brane-world model using Casimir energy from a bulk field, and presents exact solutions considering backreaction effects on the geometry.

Contribution

It provides a comprehensive review and new exact solutions for radion stabilization including backreaction effects in brane-world scenarios.

Findings

Casimir energy can stabilize the radion in Randall-Sundrum models.

Exact self-consistent solutions with backreaction are derived.

The impact of bulk conformally coupled fields on brane geometry is characterized.

Abstract

We review the stabilization of the radion in the Randall-Sundrum model through the Casimir energy due to a bulk conformally coupled field. We also show some exact self-consistent solutions taking into account the backreaction that this energy induces on the geometry.