Fine-Tuning of the Cosmological Constant in Brane Worlds

TL;DR

This paper explores how fine-tuning the cosmological constant occurs in brane world models, analyzing specific setups like the Randall-Sundrum model and models with curvature singularities, and discussing the existence of curved solutions.

Contribution

It provides a detailed analysis of the fine-tuning problem in brane world scenarios, focusing on models with curvature singularities and their solution space.

Findings

Fine-tuning is essential in brane world models to achieve a small cosmological constant.

Single brane models with curvature singularities are studied for their solution properties.

The existence of nearby curved solutions is examined in the context of these models.

Abstract

We discuss how the fine-tuning of the cosmological constant enters brane world setups. After presenting the Randall Sundrum model as a prototype case, we focus on single brane models with curvature singularities which are separated from the brane in the additional dimension. Finally, the issue of the existence of nearby curved solutions is addressed.