# Brane cosmology and the self-tuning of the cosmological constant

## TL;DR

This paper investigates brane cosmology with self-tuning mechanisms for the cosmological constant, deriving equations in various coordinates, solving analytically in certain limits, and classifying solution behaviors.

## Contribution

It provides a comprehensive analysis of self-tuning brane cosmology, including derivation of equations, solution classification, and connection to realistic universe models.

## Key findings

- Analytical solutions in the probe brane limit
- Classification of brane cosmology behaviors
- Correlation between brane dynamics and bulk properties

## Abstract

The cosmology of branes undergoing the self-tuning mechanism of the cosmological constant is considered. The equations and matching conditions are derived in several coordinate systems, and an exploration of possible solution strategies is performed. The ensuing equations are solved analytically in the probe brane limit. We classify the distinct behavior for the brane cosmology and we correlate them with properties of the bulk (static) solutions. Their matching to the actual universe cosmology is addressed.