Stochastic inflation on the brane

TL;DR

This paper explores stochastic inflation on the brane, revealing conditions for eternal inflation, deriving probability distributions, and discussing nonperturbative effects in braneworld cosmology.

Contribution

It introduces a framework for stochastic inflation on the brane, identifying regimes of eternal inflation and deriving related probability distributions.

Findings

Eternal inflation can occur on the brane under certain conditions

Stationary probability distributions exhibit exponential behavior

Nonperturbative effects are briefly analyzed

Abstract

Chaotic inflation on the brane is considered in the context of stochastic inflation. It is found that there is a regime in which eternal inflation on the brane takes place. The corresponding probability distributions are found in certain cases. The stationary probability distribution over a comoving volume and the creation probability of a de Sitter braneworld yield the same exponential behaviour. Finally, nonperturbative effects are briefly discussed.