Einstein static universe on the brane supported by extended Chaplygin gas

TL;DR

This paper explores the stability of Einstein static universe models on a brane with extended Chaplygin gas in a non-constant curvature bulk, analyzing perturbations and stability conditions.

Contribution

It introduces a detailed stability analysis of Einstein static universes on the brane supported by extended Chaplygin gas in a non-constant curvature bulk.

Findings

Stability conditions depend on the geometric equation of state parameter.

Spatial curvature influences the stability of the Einstein static universe.

Perturbation analysis reveals specific criteria for stability.

Abstract

We study the cosmological models in which an extended Chaplygin gas universe is merged with the braneworld scenario. In particular, we examine the realization of Einstein static universe on the brane embedded in a non-constant curvature bulk space and perform a detailed perturbation analysis. We extract the stability conditions and find their impacts on the geometric equation of state parameter and the spatial curvature of the universe.